Russian
emblem The International Conference
"Differential Equations, Theory of Functions, and Applications"
Dedicated to the Centennial of Academician Ilia N. Vekua
Novosibirsk, Russia, May 28 - June 2, 2007



Main

Vekua I.N.

Program Committee

Organizing Committee

Program

Abstracts

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  The conference abstracts will be published by the opening of the conference. Deadline for presenting abstracts is March 15, 2007.

Here you can find the abstracts (in pdf-format) of the talks presented to the sessions:

Differential Equations
Theory of Functions and Complex Analysis
Theory of Elasticity
Mathematical Modeling

Download the book of abstracts (6.71 Mb)

DIFFERENTIAL EQUATIONS

 

N. L. Abasheeva

Some inverse problems for parabolic and hyperbolic equations with a parameter

S. A. Abdymanapov,

S. A. Altynbek

The Dirichlet problem for a model system of second order partial differential equations of Fuchs-type on a plane (in Russian)

A. A. Abramov,

V. I. Ul'yanova, 

L. F. Yukhno

Study and methods of solving nonlinear spectral problems for differential-algebraic equations (in Russian)

V. S. Abrukov,

D. A. Troeshestova,

A. S. Sabirov,

G. I. Malinin,

A. N. Ankundinov

Combustion wave: new possibilities for construction of analytic models and their applications to experimental studies with the help of the method of artificial neuron networks (in Russian)

U. U. Abylkairov

Solvability of the inverse flowing problem for the Navier - Stokes system (in Russian)

U. U. Abylkairov,

S. E. Aitzhanov

Unique solvability of an inverse problem of magnetohydrodynamics for an incompressible viscous fluid (in Russian)

U. U. Abylkairov,

Sh. S. Sakhaev,

Kh. Khompysh

On solvability of an initial-boundary value problem of magnetohydrodynamics for a nonhomogeneous fluid (in Russian)

S. A. Aisagaliev,

A. A. Kabidoldanova

Boundary value optimal control problems for linear systems with linear functionals (in Russian)

A. V. Aksenov

A method of constructing the Riemann function for a hyperbolic equation of the second order (in Russian)

A. Sh. Akysh

On solvability of the nonlinear Boltzmann equation (in Russian)

S. A. Aldashev

A criterion for unique solvability of the Darboux - Protter problem for one class of multidimensional hyperbolic equations (in Russian)

T. M. Aldibekov

On the generalized Lyapunov exponents (in Russian)

O. P. Allaberganov

On an inverse problem on the semiaxis for the Sturm - Liouville operator with an infinite-zone potential (in Russian)

P. S. Alyoshin

An initial-boundary value problem for a mixed type difference-differential equation with the fractional derivative with respect to the space variable (in Russian)

M. M. Amangalieva,

A. E. Tuimebaeva

On solvability of special Volterra integral equations of the second kind (in Russian)

D. Amanov,

Zh. A. Otarova

A boundary value problem for a fourth order equation of mixed type (in Russian)

A. A. Andreev,

I. N. Saushkin

Nonlocal partial differential equations (in Russian)

V. K. Andreev

Stabilization of solutions to the boundary value problem describing the joint motion of two binary mixtures (in Russian)

S. Antontsev,

S. Shmarev

Elliptic equations with variable anisotropic nonlinearities

Yu. P. Apakov

On solving a boundary value problem for a nonhomogeneous equation of the third order (in Russian)

Yu. P. Apakov, 

B. Yu. Irgashev

On a problem for a degenerate equation of the third order (in Russian)

E. V. Arbuzov,

A. L. Bukhgeim

The Cauchy problem for second order elliptic equations on the plane (in Russian)

A. V. Arutyunov

Abnormal extremal problems with constraints and the inverse function theorem (in Russian)

A. T. Asanova

On a boundary value problem with data on characteristics for a system of integro-differential equations with partial derivatives (in Russian)

S. N. Askhabov

Nonlinear equations with integrals of fractional order in weighted Lebesgue spaces

I. V. Astashova

On variability of solutions to quasi-linear higher order differential equations (in Russian)

A. O. Babayan

On the Dirichlet problem for a forth order improperly elliptic equation (in Russian)

Ya. S. Badretdinov

The space equations. Analysis of a solution for the two-dimensional case (in Russian)

S. Baizaev,

E. M. Mukhamadiev

On the index of the first order elliptic operators on a plane (in Russian)

U. I. Baltaeva

On a boundary value problem for a loaded equation of hyperbolic-parabolic type (in Russian)

S. P. Bautin

Analytic heat waves of nonlinear equations of parabolic type (in Russian)

Akr. Kh. Begmatov,

Z. Kh. Ochilov

H-mappings of bounded domains (in Russian)

V. S. Belonosov

Parametric resonance in nonlinear systems (in Russian)

A. B. Berzhanov,

E. K. Kurmangaliev

On a multi-periodic (with respect to some part of variables) solution to a system with partial derivatives in a wide sense (in Russian)

A. B. Berzhanov,

Zh. A. Sartabanov

On a multi-periodic (with respect to some part of variables) solution to a system with partial derivatives of hyperbolic type (in Russian)

M. Kh. Beshtokov

On a priori estimate for a solution to a nonlocal boundary value problem for a pseudoparabolic equation of the third order (in Russian)

A. M. Blokhin,

D. L. Tkachev

Well-posedness of a modified initial-boundary value problem on stability of shock waves in a viscous gas (in Russian)

U. Bobomurodov

The Bitsadze - Samarsky problem for elliptic-parabolic equations of mixed type with a singular coefficient (in Russian)

A. N. Bogolyubov,

M. D. Malykh,

A. A. Panin,

A. G. Sveshnikov

On the spectrum of the Dirichlet boundary value problem for the Laplace operator (in Russian)

A. G. Brusentsev

On characterization of the closure in the metric defined by the generalized Dirichlet integral (in Russian)

V. V. Bublik

Differentially invariant solutions to equations of the dynamics of a viscous heat-conducting gas (in Russian)

A. L. Bukhgeim

Complex analysis and inverse problems

L. N. Buldygerova

Solvability of boundary value problems in Rn+  for quasielliptic systems (in Russian)

V. P. Burskii,

A. S. Zhedanov

Boundary value problems for the string equation, some new links with geometry, analysis and algebra problems

M. V. Burtsev,

A. N. Zarubin

An initial-boundary value problem for a fractional diffusion wave equation with a non-Carleman shift (in Russian)

G. O. Buzykin

The multipole method for boundary value problems in domains with round corners (in Russian)

V. A. Chadaev

Solving a boundary value problem for a fractional order differential equation by the modified sweep method (in Russian)

A. A. Cherevko

Group-theoretic solutions to the gas dynamics equations which are generated by the three-dimensional symmetry subalgebras

A. A. Chesnokov

Symmetry and exact solutions to the shallow water equations for spatial shear flows (in Russian)

E. A. Chizh

Resonance elliptic boundary value problems with discontinuous unbounded nonlinearities (in Russian)

N. A. Chuesheva

Boundary value problems for fourth order differential equations (in Russian)

M. K. Dauylbayev,

K. Zh. Tleuberdin

Asymptotic behavior of solutions to linear integro-differential equations with small parameter (in Russian)

G. V. Demidenko

On properties of matrix quasielliptic operators (in Russian)

T. I. Demina

Mixed problems for the telegraph equation in a rectangular domain (in Russian)

V. N. Denisov

On stabilization of a solution to the Cauchy problem for parabolic equations with exponentially increasing Cauchy data (in Russian)

S. L. Deryabin

Free-boundary problems for nonlinear partial differential equations and their applications (in Russian)

V. L. Dilman

Investigation of the stressed state system of equations for a nonhomogeneous plastic layer (in Russian)

Yu. F. Dolgii,

P. G. Surkov

The ill-posed Cauchy problem for the retarded differential equations with inverse time (in Russian)

V. Yu. Dubinskaja

Asymptotic homogenization of the stationary heat equation in a medium with different periods of non-homogeneities (in Russian)

M. T. Dzhenaliev,

M. I. Ramazanov

Boundary value problems for spectral loaded parabolic operators (in Russian)

M. T. Dzhenaliev,

M. I. Ramazanov,

B. S. Koshkarova

On spectral loaded parabolic equations in bounded domains (in Russian)

D. S. Dzhumabaev,

E. A. Bakirova

Criterions of correct solvability of a linear two-point boundary value problem for systems of integro-differential equations (in Russian)

T. D. Dzhuraev,

A. G. Khodzhaniyazov

On a spectral problem for the third order equation of composite type (in Russian)

T. D. Dzhuraev,

B. I. Zhamolov

Boundary value problems for fourth order equations of parabolic-hyperbolic type (in Russian)

T. D. Dzhuraev,

O. S. Zikirov

A nonlocal problem with integral conditions for a partial differential equation of the third order (in Russian)

L. S. Efremova

On ω-limit sets of simplest skew products in a plane (in Russian)

I. E. Egorov,

Val. E. Fedorov

To the theory of boundary value problems for higher order equations of mixed type (in Russian)

A. A. Egorova

On a problem of dynamics of a thin nonhomogeneous viscoelastic rod in the presence of concentrated and dispersed forces and moments (in Russian)

I. P. Egorova,

N. A. Kulikova

Uniqueness of a boundary value problem for an equation of mixed type with a special conjugation (in Russian)

M. M. Erekesheva

On instability of the motion with permanently acting perturbations (in Russian)

D. B. Eshmamatova

Some properties of Volterra type operators (in Russian)

M. V. Falaleev

Generalized functions and generalized solutions to degenerate differential equations in Banach spaces (in Russian)

A. V. Faminskii

Well-posedness of initial-boundary value problems for the Zakharov - Kuznetsov equation (in Russian)

Vl. E. Fedorov,

O. A. Ruzakova

Perturbation of the linearized system of the phase-field equations (in Russian)

M. V. Fokin

On uniqueness and smoothness of solutions to the Dirichlet problem for the string equation (in Russian)

A. V. Fursikov

Unlocal stable invariant manifolds for the Ginzburg - Landau equation

M. G. Gadoev

On the spectral asymptotics for a class of nonselfadjoint systems (in Russian)

V. F. Gilimshina

On decay of a solution to a degenerate elliptic equation (in Russian)

A. F. Gilmutdinova

On singularities of the phase space of the Cahn - Hilliard system of equations (in Russian)

S. O. Gladkov,

I. G. Tabakova

On the theory of derivation of the generalized diffusion equation (in Russian)

S. N. Glazatov

Existence of triply periodic solutions to the nonstationary equations of transonic gas dynamics (in Russian)

Yu. G. Gubarev

On the stability of steady-state plane-parallel shear flows of an ideal incompressible fluid which is homogeneous in density (in Russian)

J. K. Gvazava

On some singularities of solutions to a nonlinear characteristic problem with a free support of data (in Russian)

V. M. Ipatova

Study of the problem arising in the variational determination of solutions to the Navier - Stokes system (in Russian)

V. M. Ipatova

Existence of solutions to the three-dimensional model of ocean dynamics with a Lipschitz continuous density and to the problem of assimilation of observations (in Russian)

S. S. Isamukhamedov,

N. K. Mamadaliev

The Tricomi problem for an elliptic-hyperbolic equation of the second kind (in Russian)

T. Ishankulov

Continuation of generalized analytic functions (in Russian)

S. I. Kadchenko

Calculation of the sums of number series of amendments in the perturbation theory for discrete operators (in Russian)

G. M. Kadirov,

N. Rajabov

Second order ordinary differential eguations with one interior supersingular point (in Russian)

B. T. Kalimbetov

On a problem for a weakly nonlinear system with spectral singularities (in Russian)

T. Sh. Kalmenov,

U. A. Iskakova

On a method of solving the Cauchy problem for the Laplace equation (in Russian)

T. Sh. Kalmenov,

A. Sh. Shaldanbaev

On some applications of the spectral theory of equations with divergent argument (in Russian)

T. Sh. Kalmenov,

A. Sh. Shaldanbaev,

M. T. Shomanbaeva

On the influence of the lowest order term on well-posedness of the periodic problem for the heat equation with divergent argument (in Russian)

T. Sh. Kalmenov,

M. T. Shomanbaeva

On a criterion for existence of a strong solution to the Cauchyv - Neumann problem for the heat equation with divergent argument (in Russian)

B. E. Kanguzhin

The inverse problem of the spectral analysis for differential operators of higher order (in Russian)

B. V. Kapitonov

Simultaneous exact control for Maxwell's equations and a hyperbolic system with a pressure term

V. V. Karachik

On a property of harmonic functions (in Russian)

A. L. Karchevsky

Analytic solutions to the systems of differential equations of elasticity theory and to the Maxwell system in the frequency domain for horizontally stratified media of any type of anisotropy and their calculation (in Russian)

V. V. Katrakhov,

E. D. Emtseva

A singular boundary value problem in domains of the Lobachevskiĭ plane (in Russian)

V. V. Katrakhov,

P. N. Zaitsev,

A. V. Lyakhov

Singular boundary value problems in spaces of constant curvature (in Russian)

A. L. Kazakov

The generalized Cauchy problem and its applications in continuum mechanics (in Russian)

A. V. Keller

Numerical solving the generalized Showalter - Sidorov problem for the system of equations of Leont'ev type (in Russian)

A. Kh. Khaidarov

On an inverse problem for hyperbolic equations (in Russian)

Kh. O. Khaidarov,

I. Islomov

On an algorithm for solving the Cauchy problem for the Helmholtz equation (in Russian)

Sh. B. Khalilov

On a system of composite type equations (in Russian)

V. N. Khankhasaev

The first boundary value problem for a nonlinear nonclassical equation of sixth-order (in Russian)

A. B. Khasanov,

U. A. Khoitmetov

On complex-valued solutions to the KdV equation with a source (in Russian)

A. B. Khasanov, 

A. A. Reyimberganov

On integration of the nonlinear Schrödinger equation with a self-consistent source in the case of a finite density (in Russian)

A. Kh. Khasanov,

S. S. Isamukhamedov

Fundamental solutions to the generalized Gellerstedt equation (in Russian)

A. R. Khashimov

An analog of the St Venant principle for the solution to third order composite type equations in unbounded domains (in Russian)

U. A. Khoitmetov

Integration of the KdV equation with a self-consistent integral type source in a class of rapidly decreasing complex-valued functions (in Russian)

A. A.  Kilbas

Some aspects of fractional differential equations and their applications

A. V. Kornienko,

O. V. Kornienko

On a mixed type system of equations (in Russian)

D. V. Kornienko,

O. V. Kornienko

On a spectral problem for two systems of equations (in Russian)

D. V. Kornienko,

V. V. Kornienko

On spectral properties of the Dirichlet problem for equitype systems of equations (in Russian)

A. A. Korobov

On new effective conditions for the pointwise completeness of linear systems with delay (in Russian)

O. V. Korobova

Singular systems of differential equations of a special form in Banach spaces (in Russian)

S. A. Korolkov

On solvability of some boundary value problems for harmonic functions on Riemann manifolds with ends (in Russian)

B. D. Koshanov

On representation of solutions to the Dirichlet problem for polyharmonic equations in a ball (in Russian)

A. A. Kovalenko

On necessary and sufficient conditions for solvability of mixed problems for one class of Sobolev equations (in Russian)

A. I. Kozhanov

Degenerate Sobolev type equations (in Russian)

L. M. Kozhevnikova

A behaviour as x→∞ of solutions to pseudodifferential equations in unbounded domains (in Russian)

A. A. Kulzhumieva,

Zh. A. Sartabanov

Periodic solutions to a quasi-linear periodic system of equations with multi-dimensional time and period depending on characteristics of the differential operator (in Russian)

A. N. Kusyumov

Local structure of the Morse system of two non-autonomus ordinary differential equations

I. A. Kuznetsova

On solvability of a boundary value problem for a hyperbolic equation with the Saigo operators on characteristics (in Russian)

S. V. Leksina

An analogue of the d'Alamber formulae for a system of wave equations (in Russian)

M. G. Leptchinskii

Existence of solutions to elliptic equations with an unbounded discontinuous right-hand side (in Russian)

N. A. Lyulko

Asymptotic behavior of solutions to hyperbolic systems with time delay in the boundary conditions

A. R. Maikov

On effective conditions on an open boundary for the Klein - Gordon equation (in Russian)

V. I. Maksimov

On dynamical inversion of distributed systems (in Russian)

Z. Malikov

Existence of a solution to the Cauchy problem for the Cauchy - Riemann system (in Russian)

M. Sh. Mamatov

On a game pursuit problem described by partial differential equations (in Russian)

M. O. Mamchuev

Necessary nonlocal conditions for the diffusion-wave equation (in Russian)

A. E. Mamontov

Global solvability of multidimensional equations of the compressible Bingham fluid (in Russian)

N. A. Manakova

Optimal control problem for the equation of an electrical field in a semi-conductor (in Russian)

I. I. Matveeva

On boundary value problems for pseudoparabolic systems (in Russian)

S. V. Meleshko

New class of invariant and partially invariant solutions to the one-dimensional gas dynamics equations

M. V. Mendziv

The direct Lyapunov method for hyperbolic systems with periodic coefficients (in Russian)

I. Z. Merazhov

Inverse problems for a system of differential equations of electromagnetoelastisity in a linear approximation (in Russian)

G. M. Mirsaburova

A problem with the Frankl condition on a segment of the degeneration line for one class of mixed type equations (in Russian)

A. M. Nagorny,

N. K. Mamadaliev

An analogue of the Dirichlet problem for the third order parabolic-hyperbolic type equation of the second kind (in Russian)

A. B. Muravnik

On propagation of perturbations for solutions to quasilinear parabolic equations

A. N. Naimov

On a priori estimate and existence of periodic solutions to systems of nonlinear ordinary differential equations of second order on the plane (in Russian)

A. M. Nakhushev

To the theory of boundary value problems with shift (in Russian)

N. Nurlybayev

A priory estimates for some class of quasilinear hyperbolic equations

I. D. Nurov

Modelling of bifurcation problems with weakly oscillating parameters (in Russian)

B. B. Oshorov

On well-posedness of boundary value problems for elliptic system of the first and second orders (in Russian)

M. Otelbaev,

K. N. Ospanov

Some results on generalized analytic functions and singular elliptic systems of the first order (in Russian)

V. N. Pavlenko

Parabolic equations with discontinuous nonlinearities of the power growth (in Russian)

A. V. Penenko

A theoretical estimate of the convergence rate of the steepest descent method for the inverse heat conduction problem

N. R. Pinigina

On Hölder smoothness of solutions to boundary value problems for parabolic equations with varying time direction (in Russian)

N. I. Pogodaev

Properties of extremal solutions to Goursat - Darboux type control system (in Russian)

S. V. Popov,

S. V. Potapova

Hölder solvability of the 2n-th order parabolic equations with varying evolution direction (in Russian)

L. S. Pulkina

A nonlocal problem for the Laplace equation (in Russian)

S. G. Pyatkov

Inverse coefficient problems for parabolic equations with the final and partial final overdetermination (in Russian)

A. N. Rafikov

On two Bitsadze - Samarsky type problems for a mixed type equation with nonsmooth line of degeneration (in Russian)

D. G. Rakhimov

On the Gavurin method for multiparameter spectral problems (in Russian)

L. Kh. Rakhmanova

A nonlocal problem for the parabolic-hyperbolic mixed type equation (in Russian)

O. A. Repin

Nonlocal problem for a mixed type equation (in Russian)

A. A. Rezvantseva

Existence of solutions and their properties in the model of an under-ice convective boundary layer (in Russian)

A. A. Rodionov

The group-theoretic classification for equations of a model of convection (in Russian)

A. V. Rogovoy

On a discontinuous solution to the homogeneous Tricomi problem for the Lavrentjev - Bitsadze equation in the case of special contours (in Russian)

M. Kh. Ruziev

The Dirichlet problem in a vertical half-strip for a degenerated elliptic equation with a singular coefficient and spectral parameter (in Russian)

Sh. N. Ruziev

An analog of the St Venant principle for composite type equations of third order (in Russian)

K. B. Sabitov,

A. Kh. Suleimanova

On the Dirichlet problem for a mixed type equation with characteristic degeneration in a rectangular domain (in Russian)

Yu. K. Sabitova

On a nonlocal boundary value problem for a degenerate mixed type equation (in Russian)

M. A. Sadybekov,

A. M. Sarsemby

To the question of construction of associated functions for linear differential operators (in Russian)

R. R. Safiullova

Inverse problems for hyperbolic equations (in Russian)

A. Sakabekov,

E. Auzhani

The mass conservation law and Boltzmann H-theorem for the one-dimensional nonlinear system of moment Boltzmann equations in the second approximation (in Russian)

V. Zh. Sakbaev

On two methods of regularization for an ill-posed Cauchy problem (in Russian)

R. S. Saks

The Riemann - Hilbert problem for a class of model Vekua equations with singular degeneration

M. S. Salakhitdinov

On completeness of the system of eigenfunctions of a nonlocal problem for a mixed type equation (in Russian)

M. S. Salakhitdinov,

A. Masutova

The Goursat problem for a class of equations degenerating in the interior of a domain (in Russian)

G. V. Sandrakov

Multiphase models with memory effect arising from homogenization

Zh. S. Sartabanov,

Z. Zh. Aleuova

Pseudoperiodic solutions to linear systems of ordinary differential equations with constant coefficients (in Russian)

E. N. Sattorov

On the problem of solving the generalized Moisil - Teodorescu system

A. I. Sedov,

G. A. Zakirova

On an inverse problem of spectral analysis for a perturbed power of the Laplace operator in a parallelepiped (in Russian)

V. I. Semenov

Some properties of smooth solutions to the nonlinear Cauchy problem for the Navier - Stokes equations (in Russian)

S. I. Senashov,

O. V. Gomonova

Evolution of exact solutions to a systems of hyperbolic equations (in Russian)

S. Ya. Serovajsky

Parameter differentiability of a solution to an equation (in Russian)

M. S. Sgibnev

On solvability of the homogeneous integral Wiener - Hopf equation (in Russian)

A. Sh. Shaldanbaev

A criterion of existence of a strong solution to the inverse problem of heat conductivity (in Russian)

A. Sh. Shaldanbaev

On spectral properties of a model operator with divergent argument (in Russian)

A. Sh. Shaldanbaev,

G. O. Agabekova

On geometry of the spectrum of a model operator (in Russian)

A. Sh. Shaldanbaev,

S. T. Akhmetova

On nature of the spectrum of the Cauchy - Neumann operator for the heat equation with divergent argument (in Russian)

A. Sh. Shaldanbaev,

G. Besbaev

On a representation of a solution to the wave equation (in Russian)

A. Sh. Shaldanbaev,

M. Khalkhabay

On the basis property of the eigenfunctions of a first order partial differential equation with divergent argument (in Russian)

A. Sh. Shaldanbaev,

K. Khudaybergenova

On a criterion of the Volterra property for the restriction of a differential operator (in Russian)

A. Sh. Shaldanbaev,

A. A. Kopzhasarova

Solving the mixed problem for the wave equation by the divergent argument method (in Russian)

A. Sh. Shaldanbaev,

G. S. Kulazhanov

On influence of the argument divergence on the spectral properties of an operator (in Russian)

A. Sh. Shaldanbaev,

G. Omirbekova

On the Volterra property of nonlocal problems with displacement for the wave equation (in Russian)

A. Sh. Shaldanbaev,

I. O. Orazov

On mixed type equations with divergent argument (in Russian)

A. Sh. Shaldanbaev,

K. Rustemova

On a periodic problem for an equation with divergent argument (in Russian)

A. Sh. Shaldanbaev,

M. T. Shomanbaeva

On strong solvability of the Cauchy - Dirichlet problem for the heat equation with divergent argument (in Russian)

A. Sh. Shaldanbaev,

G. M. Spabekova

On nature of the spectrum of the periodic problem for the heat equation with divergent argument (in Russian)

Yu. V. Shanko

On exact solutions to the three-dimensional nonstationary Euler equations (in Russian)

E. F. Sharin

Boundary value problems for the heat equation with discontinuous initial functions (in Russian)

A. S. Shipilov

On stability of solutions to the Oskolkov system of equations (in Russian)

M. Kh. Shkhanukov-Lafishev,

M. M. Lafisheva

Local one-dimensional difference scheme for a diffusion equation of fractional order (in Russian)

G. A. Shmyrev

On convergence of solutions to a class of non-hypoelliptic equations to polynomials as |x| →∞ (in Russian)

M. T. Shomanbaeva

On nature of the spectrum of the Cauchy - Dirichlet operator of the heat equation with divergent argument (in Russian)

T. V. Shuvalova

On unique solvability of a nonlocal problem for a mixed type equation with the Saigo operator in the boundary condition (in Russian)

N. A. Sidorov

Bounded solutions to operator-differential equations with a Fredholm operator in the leading part (in Russian)

V. V. Skazka

On a parametrical resonance in the Hamilton equations with the periodic Hamiltonian with a continuous spectrum (in Russian)

S. L. Skorokhodov

Double eigenvalues of the Orr - Sommerfeld problem for the Couette flow (in Russian)

Zh. N. Tasmambetov

Construction of normal-regular and finite solutions to degenerate hypergeometric systems of second order partial differential equations (in Russian)

Aris S. Tersenov

The Dirichlet problem for anisotropic quasilinear degenerate elliptic equations

M. I. Tleubergenov

On a stochastic inverse problem for a controlled system (in Russian)

Zh. A. Tokibetov

On a method for solving the Dirichlet problem for the degenerate system of second order (in Russian)

A. A. Tokova

A nonlocal boundary value problem with local shift for a class of loaded parabolic differential equations (in Russian)

N. E. Tovmasyan,

A. O. Babayan

On the Dirichlet and Cauchy problems in the half-space for the second order elliptic equations in the class of polynomially increasing functions (in Russian)

A. B. Tungatarov,

A. Sh. Tulegenova

On a class of generalized Euler - Darboux equations (in Russian)

B. Kh. Turmetov,

G. O. Duiseeva

On the eigenfunctions of a boundary value problem with a high order boundary operator (in Russian)

B. Kh. Turmetov,

M. T. Il'yasova

On a boundary value problem for the polyharmonic equation with a fraction order boundary operator (in Russian)

F. R. Tursunov

Regularization of the Cauchy problem for the linear first order elliptic systems with constant coefficients in an unbounded domain (in Russian)

A. V. Urazaeva

An inverse problem for the Oskolkov system (in Russian)

G. U. Urazboev

On integration of the Toda chain with a self-consistent source corresponding to moving eigenvalues (in Russian)

A. K. Urinov,

K. T. Karimov

Nonlocal boundary value problem for a mixed type equation with two singular coefficients (in Russian)

V. V. Varlamov

Functions of representations of the class 1 on the homogeneous spaces of the de Sitter group

K. A. Volosov

New property of PDE and construction of solution to PDE in the parametric form

A. O. YEgorshin

Counter processes: computational algebra and differential equations (in Russian)

A. A. Zamyshlyaeva

The Boussinesqe - Lyove equation on a graph (in Russian)

B. M. Zhapbasbay,

Kh. Kh. Imomnazarov

Numerical solving the 2D electrokinetics problem for a porous media (in Russian)

O. G. Zhukova,

R. K. Romanovsky

Boundary control for the one-dimensional hyperbolic system of heat equations (in Russian)

S. S. Zhumatov

Equivalence and stability of degenerate systems of the program motion (in Russian)

A. Kh. Zhuraev

On a boundary value problem for a third order equation with multiple characteristics (in Russian)

D. A. Zhuraev,

I. Islomov

On the Cauchy problem for first order elliptic systems (in Russian)


up

               

THEORY OF FUNCTIONS AND COMPLEX ANALYSIS

 

G. M. Airapetyan

On the Dirichlet problem in the half-plane in weighted spaces (in Russian)

G. Akishev

On the orders of approximation of classes in spaces with an anisotropic norm (in Russian)

A. I. Alexandrov,

I. A. Alexandrov

The Loewner equation. Applications (in Russian)

Yu. A. Antipov,

V. V. Silvestrov

Applications of the Riemann - Hilbert boundary value problem on Riemann surfaces in mechanics and physics

B. N. Apanasov

Equivariant homeomorphisms in Carnot groups and symmetric spaces and their quasiconformality

H. Begehr

Complex partial differential model equations

S. I. Bezrodnykh,

V. I. Vlasov

The singular Riemann - Hilbert problem in complex domains and some its applications (in Russian)

N. К. Bliev

Generalized analytic functions in fractional spaces and some applications

V. G. Сherednichenko

Rational approximation and analytic continuation (in Russian)

V. V. Chueshev,

A. N. Chichkakova

Meromorphic differentials and functions on a finite Riemann surface (in Russian)

A. A. Egorov

Stability of the classes of solutions to differential equations constructed with the help of quasiconvex functions and null Lagrangians (in Russian)

V. M. Gichev

On common zeroes of the Laplace - Beltrami eigenfunctions

A. V. Greshnov

Some theorems of tangent cones forC1-smooth parallelizable manifolds (in Russian)

E. G. Grigorieva

The Sobolev inequality in the Finsler measure (in Russian)

A. P. Karmazin

Classification of strings and string bundles of domains and their behavior under quasi-isometries (in Russian)

M. D. Khriptun

An expansion of the generalized hypergeometric functions m Fm-1(z) in a modified Neumann type series in terms of generalized Bessel functions (in Russian)

A. N. Kondrashov

On existence and uniqueness of a solution to the alternating Beltrami eguation (in Russian)

D. S. Konovalova

A criterion for surjectivity of proper continuous mappings (in Russian)

L. S. Kopaneva

Some mappings with symmetry of translation (in Russian)

M. Korobkov

On Cauchy and Morera type criterions for boundedness of the coefficient of distortion

A. S. Kravchenko

Completeness of the space of generalized measures in the Kantorovich - Rubinstein metrics (in Russian)

V. N. Kutrunov

Symmetry of the spectrum of a double-layer potential operator (in Russian)

T. G. Latfullin

The Beltrami coefficient, metric spaces, and quasiconformal mappings (in Russian)

V. G. Lezhnev

A generalisation of the Bernstein inequality for entire functions to the case of a semi-axis (in Russian)

A. N. Malyutina

On the order of growth of mappings with the s-summable characteristic (in Russian)

A. D. Mednykh

Tutte's problem on the number of maps on Riemann surface

V. M. Miklyukov

On the Riemann theorem for degenerate quasiconformal maps with one and two pairs of characteristics (in Russian)

D. K. Musaev,

S. D. Musaeva

On perfect tubular (O-C) morphisms of tubular (weakly) Π-complete and tubular (weakly) superparacompact mappings (in Russian)

M. G. Nasyrova

On a Hardy type inequality (in Russian)

A. I. Parfenov

A discrete norm for the trace of Wp2 in a Lipschitz domain (in Russian)

N. Rajabov

Radially symmetric solutions to nonlinear two-dimentional complex I. N. Vekua type integral equations with fixed singular and super-singular kernels (in Russian)

L. Rajabova

On a general two-dimensional Volterra type integral equation with singularity and super-singularity on the boundary of a domain (in Russian)

E. D. Rodionov,

V. V. Slavsky

Approximation and interpolation of the conformally flat metrics (in Russian)

A. S. Romanov

Trace embedding theorems for Sobolev classes in a domain with a Hölder singularity (in Russian)

N. N. Romanovsky

On boundedness of a class of singular integral operators (in Russian)

R. G. Salakhudinov

An application of the Bonnesen inequality (in Russian)

R. B. Salimov,

P. L. Shabalin

The Riemann - Hilbert boundary value problem whose coefficients have a countable set of discontinuities (the cases of finite and infinite indices) (in Russian)

S. M. Sitnik

Construction of the Vekua - Erdelyi - Lowndes transformation operators (in Russian)

A. P. Soldatov

Fredholm solvability of singular nonclassical integral equations (in Russian)

A. S. Sorokin

On the structural formulas of some classes of generalized analytic functions in a finitely connected domain (in Russian)

S. M. Tashpulatov

On spectra, bound states, and resonances of the energy operator of two-magnon systems in the one-dimensional non-Heisenberg ferromagnetics with the nearest neighbors interaction and with an arbitrary spin value S (in Russian)

S. M. Tashpulatov

On essential and discrete spectra of a discrete Schrödinger operator on the three-dimensional lattice (in Russian)

E. V. Tyurikov

On an I. N. Vekua mixed boundary value problem of the membrane theory of shells (in Russian)

T. M. Urbanovich

On the theory of an exceptional case for the Riemann boundary value problem in the class of hyperfunctions (in Russian)

T. S. Vaitekhovich

Basic boundary value problems for analytic functions in a ring domain

N. Virchenko

On the generalized  Tricomi' function

Yu. S. Volkov

On the uniform convergence of interpolating splines and their derivatives (in Russian)

A. F. Voronin

Existence criterion of the canonical factorization of a matrix-function (in Russian)

E. I. Yakovlev

On a summation method for multiple power series at the spiral Mittag-Leffler star (in Russian)

I. V. Zhuravlev

On the inverse function theorem and implicit function theorem for Lipschitz mappings (in Russian)


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THEORY OF ELASTICITY

 

L. A. Alexeyeva,

G. K. Kayshibaeva

A method of boundary integral equations for the problems of wave diffraction on cylindric cavities in elastic media (in Russian)

Yu. A. Bogan

On continuity of displacements in the two-dimensional anisotropic elasticity theory (in Russian)

Yu. A. Bogan,

A. G. Kolpakov,

S. I. Rakin

Some effects of deformation of laminated medium

O. P. Bushmanova

Mathematical modeling of localization of deformations (in Russian)

V. O. Bytev,

L. I. Shkutin

Asymmetric elasticity (in Russian)

R. Duduchava

Partial differential equations on hypersurfaces and the shell theory

A. Gaudiello

Boundary homogenization and reduction of dimension in the Kirchhoff - Love plate

Yu. M. Grigoriev

A nonclassical problem for the Stokes system (in Russian)

H. Itou,

A. Tani

A boundary value problem for an infinite elastic strip with a semi-infinite crack

G. V. Jaiani

Elastic cusped beam, plate, and shell hierarchical models and their relation to the 3D classical linear models

A. M. Karimov

Homogenization of non-stationary processes in elastic composites with periodical structure (in Russian)

V. F. Kirichenko

Correctness of evolutionary equations in the nonclassical theory of depressed shells with variable mass (in Russian)

V. A. Kovtunenko

A nonlinear evolutionary problem on the crack propagation (in Russian)

A. I. Levykin,

I. V. Sukhorukov

Analysis of convergence of the moment method of boundary elements (in Russian)

O. I. Makhmudov

The Cauchy problem for the Lame system of equations in Rm (in Russian)

N. I. Martynov

Reduction of boundary value problems of elasticity to boundary value problems of a generalized analytic vector (in Russian)

I. E. Niyozov

Regularization of a solution to the Cauchy problem for the system of the moment elasticity theory (in Russian)

N. I. Ostrosablin

Invariant constants in elasticity and constitutive relations of elastic media (in Russian)

O. D. Pryakhina,

A. V. Smirnova

On the definition of localization conditions for a vibration process by a system of defects (in Russian)

E. M. Rudoj

Differentiation of the energy functionals for a problem of a curvilinear crack with a possible contact of crack faces (in Russian)

A. Tani,

A. M. Khludnev

Overlapping domain problems in the crack theory (in Russian)

I. Yu. Tsvelodub

On the differently modular elasticity theory of isotropic materials (in Russian)

A. N. Tyurekhodjaev,

A. G. Ibraev,

M. Zh. Sergaziev,

Z. U. Shagataeva

Wave propagation in mechanical systems with nonlinear energy dissipation (in Russian)

A. N. Tyurekhodjaev,

B. Zh. Kyrykbayev,

V. B. Rystygulova,

G. A. Karibayeva

Analytic solving problems on flexure of nonhomogenous elastic plates and shells (in Russian)

A. A. Schwab

Some nonclassical problems of the elasticity theory (in Russian)

R. A. Sharipov

Kinematics, dynamics, and thermodynamics of plasticity in the nonlinear theory of deformations (in Russian)

G. K. Zakir'yanova

Generalized solutions to the non-stationary boundary value problems for an elastic anisotropic medium (in Russian)

O. N. Zhdanov

Solving the mixed problem for the system of equations describing the plane stress of the Mises plastic continuum (in Russian)


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МАТЕМАТИЧЕСКОЕ МОДЕЛИРОВАНИЕ

 

D. Zh. Akhmed-Zaki,

N. T. Danayev

Mathematical modeling of the process of thermal filtration (in Russian)

T. R. Amanbayev

The interaction of the two phase gas-drop jet with the supersonic flow (in Russian)

N. M. Andreeva,

D. I. Nazimova

Choice of a method for estimation of data representativeness for solving ecological problems (in Russian)

A. S. Apartsyn

The Lambert function in the theory of multilinear integral Volterra equations (in Russian)

T. A. Averina

Simulation of switching diffusion given by stochastic differential equations (in Russian)

V. V. Bashurov,

T. I. Filimonenkova

Variational approach to modelling of security problems (in Russian)

P. B. Beisebay

Study of the implicit difference scheme of splitting for the thermal convection equations (in Russian)

A. N. Bogdanov,

V. N. Diesperov

The peculiarities of the modeling of the free non-stationary viscous-nonviscous interaction on transonic speeds (in Russian)

A. V. Boiko,

Yu. M. Nechepurenko

Numerical analysis of the linear stability of laminar flows in channels (in Russian)

A. N. Bondarenko,

D. S. Ivashchenko

Numerical methods for solving boundary value problems for the diffusion equation with a fractional derivative with respect to time and a constant coefficient (in Russian)

A. N. Bondarenko,

A. V. Katsuk

Adapted Renie analysis of images

A. M. Bubenchikov,

V. S. Poponin,

D. K. Firsov

A method of a high order accuracy in computations of the two-dimensional stationary Navier - Stokes equations on unstructured grids (in Russian)

A. M. Bubenchikov,

N. R. Shcherbakov,

V. V. Stanovskoy,

S. M. Kazakyavichyus

Computer simulation of an eccentric cycloidal pin gear (in Russian)

A. V. Burmistrov

Estimating the derivatives of a solution to the elliptic BVP by statistical modelling method

G. G. Chernykh,

A. G. Demenkov, 

V. A. Kostomakha

Numerical modeling of swirling turbulent wakes

M. A. Cheshkova

Möbius band (in Russian)

Yu. A. Chumakov,

A. G. Knyazeva

Algorithms of numerical investigations of the stationary model of a gas burning in a porous burner (in Russian)

T. V. Eroshkina

Mathematical models of stress state of plastic layer in a solid cylinder (in Russian)

S. V. Gaidomak

On numerical solving degenerate hyperbolic systems by the spline-collocation method (in Russian)

Yu. A. Gaidov,

V. P. Golubyatnikov

On nonlinear dynamical systems as models of the gene networks

Yu. A. Gaponenko

Influence of the periodic temperature oscillation on convection in a horizontal layer of a fluid with free boundary (in Russian)

S. O. Gladkov,

R. G. Rabadanov

Sinergy of nonlinear vibrations of a thin string (in Russian)

A. I. Golod,

A. P. Chupakhin

Selfsimilar 3D solutions to the gas dynamics equations (in Russian)

A. N. Golubyatnikov

Flows of liquid-crystalline media with homogeneous strain (in Russian)

V. N. Grebenev,

M. Oberlack

Metric properties of a manifold which defined by the two-point correlation tensor

Yu. N. Grigoriev,

I. V. Ershov

Global instability of the free shear flows of a thermally disordered molecular gas (in Russian)

Ya. L. Gurieva,

V. P. Il'in

On an iterative solution to two-dimensional elasticity problems (in Russian)

S. A. Gusev

Estimation of derivatives with respect to parameters of a solution to a parabolic boundary value problem with the Neumann boundary condition on the base of numerical solving stochastic differential equations (in Russian)

Kh. Kh. Imomnazarov,

A. A. Mikhailov

Numerical solving a two-dimensional linear dynamic problem for porous media based on the Laguerre spectral method (in Russian)

N. B. Itkina

The discontinuous Galerkin method for diffusion-convection problems (in Russian)

A. V. Ivanova,

A. P. Chupakhin

Derivation and study of the shallow water model on a rotating sphere (in Russian)

K. K. Izmailova,

A. P. Chupakhin

Group-theoretic solutions to the Schrödinger equation generated by the three-dimensional symmetry algebras (in Russian)

A. I. Kadchenko

Criteria for the property of accessibility in dynamic systems (in Russian)

A. G. Khakimov

Modelling of the thermal state of elements of a crosstop during the oxy-acetylene cutting (in Russian)

I. Yu. Khasanov,

I. A. Kaliev,

M. F. Mugafarov,

G. S. Sabitova,

N. Kh. Faizullin,

G. I. Khasanova

Hydrodynamics simulation of the centrifugal equipment for the fluid treatment (in Russian)

A. K. Khe

Hydraulic jump on 3D shear flows of an ideal incompressible fluid (in Russian)

V. A. Klyachin

On a generalization of the Delone condition (in Russian)

A. G. Kolpakov

Asymptotic of potentials of inclusions in high-contrast high-filled medium

N. K. Korsakova,

V. I. Pen'kovskii

Application of mathematical models to the study of invasion processes and sounding well methods (in Russian)

M. V. Kurkina

Generalized multidimensional linear dynamic models of the resource allocation (in Russian)

V. T. Kurokhtin

Mathematical modeling of the high-velocity viscoelastic deformation (in Russian)

A. Yu. Loshmanov

Mathematical modeling of V-notched flat bar fracture at tension (in Russian)

N. N. Lyubimova

An analytic solution to the Maxwell boundary value problem on thermal sliding for the quantum Bose-gases (in Russian)

N. I. Makarenko,

Zh. L. Maltseva

Boundary layers in the wave spectra (in Russian)

A. D. Matveev

Combined application of one- and multigrid modeling for the 2D composites of complex shape (in Russian)

A. M. Meirmanov

Homogenized equations for short-time filtration processes and acoustic wave propagation in elastic porous media

V. A. Nakhusheva

On a mathematical model of the theory of regimes with sharpening (in Russian)

O. V. Nechaev,

E. P. Shurina,

M. I. Epov

Numerical schemes for solving the three-dimensional Helmholtz equation based on the high order vector finite element method (in Russian)

A. G. Nefedov

Application of the boundary value problem in the quantum Fermi gases (in Russian)

V. S. Neronov,

B. E. Smagulov

On the optimal rocket carriers control with the regard for the elastic properties (in Russian)

V. S. Neronov,

L. V. Topko

Mathematical modeling of the heat-hydraulic processes for the pipe lines with regard for random factors (in Russian)

V. I. Paasonen

Parallel technologies in high-order difference methods and their applications (in Russian)

A. B. Paltsev

Numerical modeling of the electric field in the laser using the multipole method (in Russian)

A. A. Papin

Solvability of initial boundary value problems for the one-dimensional equations of motion of a two-phase mixture (in Russian)

D. V. Parshin,

A. P. Chupakhin

Analytical investigation of the gas motion in a curvilinear tube (in Russian)

V. V. Penenko

Variational principles for constructing numerical models of the dynamics of atmosphere and the environmental protection (in Russian)

V. V. Pukhnachev

Models of the deformation and rupture of a liquid layer under the action of the thermocapillary forces (in Russian)

Sh. S. Sakhayev

Solvability of the free thermal convection problem in Hölder spaces C2+α,1+α/2(QT), 0<α<1 (in Russian)

G. A. Samigulina

Development of intellectual expert control systems specified on intervals (in Russian)

M. A. Sattarov

On the theory of a turbulent flow with a cross shear (in Russian)

M. E. Semenov,

S. N. Kolupaeva

A mathematical model and a program system for the study of the plastic deformation under the creep condition (in Russian)

V. V. Shaidurov,

G. I. Shchepanovskaya

Numerical simulation of the interaction of thermal impulses in a viscous gas (in Russian)

R. V. Shamin

On the estimate of the time of existence of solutions to equations describing water waves (in Russian)

R. A. Sharipov

Basic fields of the standard model with the non-quantized gravity (in Russian)

G. V. Shevchenko

Numerical solving the nonlinear problem of optimal processing speed (in Russian)

V. P. Sizikov,

V. I. Razumov

TDIS in comprehension and refinement of the quantum mechanics apparatus (in Russian)

S. N. Sorokova,

A. G. Knyazeva

Mathematical simulation of propagation of the stationary transition front in a viscoelastic medium (in Russian)

V. N. Starkov,

A. S. Politylo

The nonlinear integral equation of the double-beam laser interaction (in Russian)

I. Kh. Utakaeva

On a model of recognition of a prefractal graph (in Russian)

V. D. Vlasenko

Solution of electroelasticity dynamical problems for piezoelectric materials (in Russian)

A. F. Voevodin,

T. V. Protopopova

Splitting methods for the numerical solution of initial-boundary value problems for systems of composite type equations (applications to convection problems) (in Russian)

G. N. Yakovenko

(in Russian)

A. I. Zeifman,

Ya. A. Satin,

G. N. Shilova

Constructing limiting means for some classes of the birth and death processes (in Russian)

G. A. Zelenkov

Instability domains for characteristic polynomials of robust systems (in Russian)


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