N1--6 1993 No.~1 {C. Bartocci, U. Bruzzo, and D. Hern\'andez Ruip\'erez}{Products and Vector Bundles Within the Category of $G$-Supermanifolds} {1}{5} {I.~A. Blatov and V.~V. Strygin} {Fourth Order Accuracy Collocation Method for Singularly Perturbed Boundary Value Problems} {10}{16} {M.~Sh. Braverman}{On Rosenthal's Inequality and Rearrangement Invariant Spaces} {25}{32} {M.~V.~Volkov}{Varieties of Associative Rings in Which All Critical Rings Are Basic} {30}{38} {A.L. Gladkov}{The Cauchy Problem for Certain Degenerate Quasilinear Parabolic Equations with Absorption} {37}{47} {N.~S.~Dairbekov}{On Removable Singularities of Solutions to First Order Elliptic Systems with Irregular Coefficients} {55}{65} {Yu.~F.~Korobeinik and Melikhov~S.N.}{A Continuous Linear Right Inverse of the Representation Operator and Applications to the Convolution Operators} {59}{70} {V.~I.~Kuzminov and I.~A.~Shvedov}{On Normal Solvability of the Exterior Differentiation on a Warped Cylinder} {73}{85} {S.V. Mikhovski}{Isomorphic Crossed Products of Groups and Prime Rings} {83}{96} {V.~V.~Napalkov and T.~T.~Kuzbekov}{On a Countable System of Convolution Equations} {92}{106} {I.~Ya. Novikov}{Martingale Inequalities in Rearrangement Invariant Spaces} {99}{113} {Yu.A.~Peshkichev}{Anisotropic Sobolev Spaces in the Theory of Functions} {106}{121} {I.V. Polikanova}{Extrinsic Geometric Properties of Shortest Geodesics in a Neighborhood About a Point of Strict Tangency} {110}{125} {S.~M.~Prigarin}{Weak Convergence of Probability Measures in the Spaces of Continuously Differentiable Functions} {123}{140} {A. Sakabekov}{On Existence of a Global Solution to the Initial-Boundary Value Problem for the Boltzmann Equation} {128}{145} {V.~V.~Samokhin}{On the System of Equations of the Laminar Boundary Layer in the Presence of Injection of a Non-Newtonian Fluid} {139}{157} {V.R.~Smilyanskii }{The Central and Secondary Link Problems for an Equation and a Second Rank System} {150}{169} {A.D.~Ukhlov}{On Mappings Generating the Embeddings of Sobolev Spaces} {165}{185} {G.A. Chumakov}{Conformal Parametrization of Curvilinear Quadrangles by Means of Geodesic Quadrangles on Surfaces of Constant Positive Curvature} {172}{193} {O.Yu. \`Emanuilov}{Optimal Control Problem for the Backward Heat Equation} {181}{204} {S.I.~Yanov}{On Existence of a Solution Periodic in $t$ to the First Exterior Mixed Problem for the Sobolev System} {189}{212} No.~2 {A.~Kh. Amirov}{Solvability of the Integral Geometry Problem for Geodesics} {199}{3} {E.L. Bashkirov}{On Linear Groups Generated by Two Long Root Subgroups} {210}{15} {V.~V. Belyaev}{Locally Finite Groups Containing a Finite Inseparable Subgroup} {218}{23} {M.~P. Vishnevskii }{On Stable Stationary Solutions to a~Quasilinear Parabolic Equation} {233}{45} {E.~V. Voskresenskii }{The Direct Lyapunov Method in the Theory of Asymptotic Equivalence for Differential Equations} {242}{52} {P.~Ya.~Grushko}{Local Theory of $Z$-Transitive Geometric Structures} {251}{62} {A.~N. D\"egtev}{On Multiple Positive Reducibility} {263}{74} {I.V. Zhuravl\"ev}{To the Problem of Determining a Mapping from Its Normalized Jacobi Matrix} {266}{77} {V.B.~Korotkov}{On Resolvents of Integral and Partially Integral Operators} {276}{88} {V.B.~Levenshtam}{ Justification of the Averaging Method for the Convection Problem with High-Frequency Vibrations} {280}{92} {S.~A. Malyugin}{The Moment Problem in $K_\sigma $-Space} {297}{110} {V.~I.~Nazarov}{Solvability of Differential Equations in Scales of Banach Spaces} {307}{121} {A.~G. Podgaev}{On Relative Compactness of a Set of Abstract Functions in a Scale of Banach Spaces} {320}{135} {M.~N. Podoks\"enov}{A Lorentz Manifold with a Group of Conformal Transformation Containing a Normal Subgroup of Homotheties} {330}{146} {A.~B.~Sekerin}{On Reducibility of Zero Sets of Entire Functions of Several Variables} {337}{154} {Yu.~T.~Silchenko}{Evolution Equations with a Nondensely Defined Operator Coefficient} {347}{166} {V.A.~Toponogov}{A Condition Sufficient for Nonexistence of a Cycle in a Two-Dimensional System Quadratic in One of the Variables.} {350}{170} {A.M.~Khludnev}{A Contact Problem for a Beam Under the Conditions of Plasticity and Creep} {353}{173} {E.~I Khukhro}{On Groups with a Splitting Automorphism of Prime Order} {360}{180} {I.~I.~Shamaev}{The Distance Between a Weighted Shift Operator and Integral Operators} {363}{184} {V.~V. Shelukhin}{A Variational Principle for Linear Evolution Problems Nonlocal in Time} {369}{191} {V.P. Shunkov}{On Disposition of Involutions in a Group} {385}{208} No.~3 {A.M. Blokhin and Yu.~L. Trakhinin}{Rotational Discontinuity in Magnetohydrodynamics} {395}{3} {M. T. Brodovitch}{Holomorphy of an Arbitrary Approximately Holomorphic Mapping from a Plane Domain into the Plane} {412}{19} {M.~P. Vishnevskii }{A Criterion for Exponential Stability of the Zero Solution to a Weakly-Coupled Cooperation-Diffusion Parabolic System} {419}{27} {R.R.~Gadylshin}{Splitting a Multiple Eigenvalue in the Boundary Value Problem for a Membrane Clamped on a Small Part of the Boundary} {433}{43} {V.~V. Gorbatsevich}{On the Double Normalizer of the Stable Subalgebra of a Plesiocompact Homogeneous Space} {451}{62} {A.V. Kazhikhov} {The Equation of Potential Flows of a Compressible Viscous Fluid at Small Reynolds Numbers{\rm:} Existence, Uniqueness, and Stabilization of Solutions} {457}{70} {N.~Kh.~Kasymov}{Separation Axioms and Partitions of the Set of Natural Numbers} {468}{81} {B.~A. Kats}{To the Question of Integration Along Fractal Plane Contours} {472}{86} {V.B.~Korotkov}{Reducing Certain Operator Families to Integral Form} {481}{97} {V.~I. Kuzminov and I.~A. Shvedov}{ On Compactly-Supported Approximation of Closed Differential Forms on Riemannian Manifolds of Special Type} {486}{102} {A.V.~Kuzminykh}{Boundedly Isometric but Not Isometric Spaces} {500}{118} {K.~A. Meirembekov and K.~M. Shegirov}{Stable Geometric Lattices} {504--512}{122} {G.~G.~Mikhai lichenko}{Bimetric Physical Structures of Rank $(n+1,2)$} {513}{132} {K.~Yu.~Osipenko and M.I.~Stesin}{On Some Problems of Optimal Recovery of Analytic and Harmonic Functions from Inaccurate Data} {523}{144} {N.~A.~Serdyukova}{Dual Purities and Interrelation Between the $P$-Purities and the Purities Given by Systems of Equations} {540}{161} {S.~M. Skryabin}{A Contragredient Lie Algebra of Dimension~{\rm29} over a Field of Characteristic {\rm3}} {548}{171} {V.A. Toponogov}{Surfaces of Generalized Constant Width} {555}{179} {V.~G.~Troitskii }{Nonstandard Discretization and the Loeb Extension of a Family of Measures} {566}{190} {D.A. Trotsenko}{Isometry of the Boundaries of Plane Domains and the Properties of Shortest Geodesics} {574}{199} {V.~F.~Chistyakov}{On Noetherian Index of Differential/Algebraic Systems. I} {583}{209} No.~4 {S.~A. Badaev}{On Cardinality of Semilattices of Enumerations of Nondiscrete Families} {795}{3} {M.~P. Vishnevskii }{On Stabilization of Solutions to Boundary Value Problems for Quasilinear Parabolic Equations Periodic in Time} {801}{11} {S.S.~Goncharov}{Computable Classes of Constructivizations for Models of Finite Computability Type} {812}{23} {A.A.~Dorogovtsev Jr.}{On a Certain Property of Paths of Extended Stochastic Integrals} {825}{38} {I.V.~Zhuravl\"ev}{On a Homeomorphic Solution to a Multidimensional Analog of the Beltrami Equation} {829}{43} {P.~L.~Ivankov}{On Linear Independence of the Values of Entire Hypergeometric Functions with Irrational Parameters} {839}{53} {V.K. Ionin and Yu.G. Nikonorov}{An Uncountable Family of Disjoint Spatial Continua in Euclidean Space} {848}{63} {B.~V. Kapitonov}{Uniqueness Theorems and Exact Boundary Controllability of Evolution Systems} {852}{67} {N.~Kh. Kasymov}{Enumerated Algebras with Uniformly Recursive-Separable Classes} {869}{85} {V.B.~Marenich}{Horofunctions, Busemann Functions, and Ideal Boundaries of Open Manifolds of Nonnegative Curvature} {883}{103} {A.~Novotn\'y and M.~Padula}{Existence and Uniqueness of Stationary Solutions for a Viscous Compressible Heat-Conducting Fluid with Large Potential and Small Nonpotential External Forces} {898}{120} {A.I. Prilepko and A.~B. Kostin}{ On Inverse Problems of Determining a Coefficient in a Parabolic Equation. II } {923}{147} {I.V.~Protasov}{Ultrafilters and Topologies on Groups} {938}{163} {A.~N.~Skiba}{On Formations Like $\goth C\goth H$} {953}{181} {A.I.~Sozutov}{On Lie Algebras with Monomial Basis} {959}{188} {A.~Yu.~Chebotar\"ev}{Extremal Boundary Value Problems of the Dynamics of a Viscous Incompressible Fluid} {972}{202} {K.~K.~Shchukin}{On Primitive Solvable Permutation Groups with Commutative Stabilizer of a Point} {984}{214} {V.~I.~Yudovich}{On the Equations of Free Convection in an Absolutely Heat-Conducting Fluid} {988}{218} No.~5 {V.V. Aseev}{Pairs of Domains with Quasiconformality Coefficient Unity} {593}{3} {S.V.~Astashkin}{On Cones of Step Functions in Rearrangement Invariant Spaces} {597}{7} {V.~V. Belyaev}{Inert Subgroups in Infinite Simple Groups} {606}{17} {V.~N. Berestovskii and D.E. Volper}{A Class of $U(n)$-Invariant Riemannian Metrics on Manifolds Diffeomorphic to Odd-Dimensional Spheres} {612}{24} {N.~M. Bokalo} {On Unique Solvability of Boundary Value Problems for Semilinear Parabolic Equations in Unbounded Domains Without Conditions at Infinity} {620}{33} {S.V.~Varaksin}{Continual Series of Minimal Quasivarieties of\/ $l$-Groups} {628}{41} {M.~P. Vishnevskii }{Monotone Solutions to Quasilinear Parabolic Equations} {636}{50} {V.A.~Ganov}{Recursion on Generalized Computable Ordinals} {646}{61} {S.~K. Godunov}{An Estimate for Green's Matrix of a Hamiltonian System in the Optimal Control Problem} {653}{70} {V.A. Gromov}{Certain Solutions to a System of Scalar Equations with a Vector Parameter} {663}{81} {A.K.~Guts}{Uniqueness of Abelian Affine Chronogeometry} {666}{84} {N.~S.~Dairbekov}{Quasiregular Mappings of Several $n$-Dimensional Variables} {669}{87} {V.~I. Zenkov}{ The Structure of Intersections of Nilpotent $\pi $-Subgroups in Finite $\pi $-Solvable Groups} {683}{103} {A.~G.~Kusraev}{Kantorovich Spaces and the Metrization Problem} {688}{108} {A.~S.~Leonov} {On Quasioptimum Selection of the Regularization Parameter\newline in~M.M.~Lavrent\/ev's Method} {695}{117} {P.~I. Plotnikov}{Generalized Solutions to a Free Boundary Problem of Motion\newline of\newline a~Non-Newtonian Fluid} {704}{127} {S.~P. Ponomar\"ev}{On Hausdorff Dimensions of Quasiconformal Curves} {717}{142} {A.~S.~Romanov}{On Extension of Functions of Sobolev Spaces} {723}{149} {V.A.~Romankov}{Infinite Generation of Automorphism Groups of Free Pro-$p$ Groups} {727}{153} {An.~A.~Ruban}{Exposing Functions of Strongly Exposed Points{\rm:} Description and Properties} {733}{160} {I.~Kh.~Sabitov}{To the Question of Smoothness of Isometries} {741--748}{169} {P.~V.~Sem\"enov}{An Invertibility Criterion for Multivectors in a Real Clifford Algebra} {749}{177} {V.~D.~Stepanov}{On Weighted Estimates for a Class of Integral Operators } {755}{177} {V.A.~Toponogov} {A Uniqueness Theorem for a Surface with Principal Curvatures Connected by the Relation $(1-k_1d)(1-k_2d)=-1$} {767}{197} {D.A. Trotsenko}{Sign Preservation for a Function of Two Variables} {770}{200} {A.~Tungatarov}{To the Theory of a Generalized Cauchy-Riemann System with a Singular Point} {776}{207} {A.A. Khusainov}{The Hochschild--Mitchell Dimension of the Set of Reals Is Equal to~{\rm3}} {786}{217} No.~6 {V.A.~Aleksandrov}{An Example of a One-Dimensional Rigid Set in the Plane} {999}{3} {A.M.~Blokhin and Yu.~L.~Trakhinin}{On Stability of Shock Waves\newline in~Magnetohydrodynamics with Anisotropic Pressure} {1005}{10} {R.~M.~Garipov and E.~V.~Mamontov}{One-Dimensional Motion of Inelastic Balls.~{\rm I:}\newline Reduction to Discrete Time} {1017}{23} {V.~M.~Gordienko}{Singular Decomposition of a Differential Operator on a Semiaxis} {1027}{34} {B.~K.~Dauletbaev}{Determining an Atomic Boolean Algebra from the Action\newline of the~Automorphism Group} {1041}{49} {G.~V. Demidenko}{Integral Operators Determined by Quasielliptic Equations. {\rm I}} {1044}{52} {A.~N.~Zubkov}{Matrix Invariants over an Infinite Field of Finite Characteristic} {1059}{68} {V.~V.~Kisil}{On the Algebra of Pseudodifferential Operators Which Is Generated by Convolutions on the Heisenberg Group} {1066}{75} {N.~A.~Kudryavtseva and Yu.G.~Reshetnyak}{On Stability of M\"obius Transformations in the Class of Mappings with Bounded Distortion} {1076}{86} {V.~I. Kuzminov and I.~A. Shvedov}{On Compactly-Supported Approximation of Differential Forms in Weighted Sobolev-Type Spaces} {1081}{91} {A.M.~Kytmanov and M.~Sh.~Yakimenko}{On Holomorphic Extension of Hyperfunctions} {1101}{113} Lavrentev~M.M. Jr. Solvability of Nonlinear Parabolic Problems {1110}{123} {A.A.~Lebedev}{ Disintegration of Dominated Monotone Sublinear Functionals on the Space of Measurable Functions} {1117}{130} {Yu.G. Nikonorov}{On the Integral Mean Value Theorem} {1135}{150} {K.~N.~Ponomar\"ev}{Minimal Algebraic Groups with Finite Center} {1138}{153} {E.~M.~Sem\"enov}{Haar System Rearrangements in Lorentz Spaces} {1142}{158} {S.~Tazhetdinov}{Subnormal Structure of Symplectic Groups over~$(2,3)$-Full Rings} {1149}{165} {I.~A. Tai manov}{Closed Geodesics on Non-Simply-Connected Manifolds} {1154}{170} {U.~U.~Umirbaev}{Partial Derivatives and Endomorphisms of Some Relatively Free Lie Algebras} {1161}{179} {A.~Yu.~Chebotar\"ev}{Maximum Principle in the Boundary Control Problem for Flow\newline of~a~Viscous Fluid} {1171}{189} {G.~I. Chertanov}{Orderability of Topological Spaces with a Connected Linear Base} {1180}{198} {A.A.~Shalaginov}{On Mappings of Self-Similar Curves} {1190}{210} {Shlyk~V.A.}{The Equality Between $p$-Capacity and $p$-Modulus} {1196}{216} \medbreak \leftline {\twelvebf Index} \nobreak \smallskip \icontline {Author Index, Volume 34, Numbers 1--6, 1993}{1203} \icontline {Tables of Contents, Volume 34, Numbers 1--6, 1993}{1205}