Russian
International Seminar on
Nonclassical Equations of Mathematical Physics
Dedicated to the 60th Birth Anniversary of Professor Vladimir N. Vragov

Novosibirsk, Russia, October 3 - 5, 2005

V.N.Vragov      Program      Proceedings      Participants      Photos      Contacts

Contents

T.Sh.Kalmenov Absolutely unselfish personality (in Russian) 5
U.U.Abylkairov An inverse problem for the linearized 2D-3D Navier - Stokes system with nonstandard boundary conditions (in Russian) 7
S.A.Aldashev A criterion for eigenfunctions existence of the Darboux - Protter spectral problem for multidimensional degenerate hyperbolic equations (in Russian) 19
M.M.Amangalieva, M.T.Dzhenaliev, M.I.Ramazanov The spectrally loaded heat operator and boundary value problems (in Russian) 22
D.S.Anikonov, D.S.Konovalova A necessary condition for the uniqueness of a solution to X-ray tomography problems (in Russian) 30
Yu.E.Anikonov Asymptotic formulas for multidimensional inverse problems for evolution equations with a parameter (in Russian) 34
S.A.Beilin A mixed problem with an integral condition for the wave equation (in Russian) 37
Yu.Ya.Belov, I.V.Frolenkov On problems of identification of two coefficients for the one-dimensional semi-linear parabolic equation (in Russian) 44
L.N.Buldygerova, G.V.Demidenko Asymptotic properties of solutions to the nonlinear Sobolev equation (in Russian) 50
A.L.Bukhgeim, G.V.Dyatlov, E.V.Tantserev Uniqueness for an inverse problem for the Maxwell system (in Russian) 60
B.V.Gatapov, A.V.Kazhikhov Global solvability to the atmosphere dynamics problem (in Russian) 70
S.N.Glazatov Nonlinear third order equations and variational inequalities (in Russian) 80
M.T.Dzhenaliev, K.B.Imanberdiev The Bellman method for an optimal control problem (in Russian) 93
T.D.Dzhuraev, O.S.Zikirov The Goursat and nonlocal problems for a class of third order equations (in Russian) 98
I.E.Egorov, A.P.Lvov Solvability to a nonlocal boundary value problem for nonclassical equations with varying time direction (in Russian) 109
T.Sh.Kalmenov, U.A.Iskakova A criterion for completeness of root vectors of compact operators (in Russian) 120
T.Sh.Kalmenov, B.D.Koshanov On the representation of the Green function of the Dirichlet problem for the biharmonic equation (in Russian) 122
T.Sh.Kalmenov, B.D.Koshanov, U.A.Iskakova Completeness of assosiated elements of the Tricomi problem for the Lavrentiev - Bitsadze equation (in Russian) 125
B.E.Kanguzhin On the uniqueness of a solution to a nonlocal with respect to time problem for the heat equation (in Russian) 130
V.V.Katrakhov, S.V.Kiselevskaya On a singular elliptic boundary value problem in domains on a cone (in Russian) 133
A.A.Kerefov,
M.Kh.Shkhanukov-Lafishev, R.S.Kuliev
Boundary value problems for the loaded heat equation with nonlocal Steklov type conditions (in Russian) 152
O.G.Kitaeva, G.A.Sviridyuk Stable and unstable invariant manifolds for the Oskolkov equation (in Russian) 160
A.I.Kozhanov An inverse problem for parabolic equations with an unknown coefficient of special kind (in Russian) 167
I.I.Matveeva On the solvability to the Cauchy problem for pseudoparabolic systems in weighted Sobolev spaces (in Russian) 177
F.G.Mukhlisov, A.Sh.Khismatullin Solving boundary value problems for a degenerate B-elliptic equation of second kind (in Russian) 186
B.B.Oshorov On boundary value problems definition for elliptic first order systems (in Russian) 203
I.M.Petrushko, T.V.Kapitsyna On first mixed problem for degenerate parabolic equations (in Russian) 207
S.V.Popov Contact parabolic boundary value problems in Hölder spaces (in Russian) 219
L.S.Pulkina A nonlocal problem for the heat equation (in Russian) 231
S.G.Pyatkov Some properties of eigenfunctons and associated functions of the indefinite Sturm - Liouville problem (in Russian) 240
O.A.Repin A nonlocal problem for the parabolic-hyperbolic equation with fractional derivatives in the boundary condition (in Russian) 252
M.S.Salakhitdinov, A.K.Urinov Eigenvalues and eigenfunctons of mixed type equations (in Russian) 258
G.A.Sviridyuk, D.E.Shafranov The Oskolkov equations on a manifold without the edge (in Russian) 263
A.P.Soldatov Estimation of the spectral radius of functional operators (in Russian) 268
V.E.Fedorov, M.A.Sagadeeva Bounded solutions to a linearized system of the phase field (in Russian) 275
A.R.Khashimov On local estimations of generalized solutions to third order composite type equations (in Russian) 285
N.A.Chuesheva On first boundary value problem for a 6th order equation (in Russian) 291