Contents
Doklady Mathematics


Vol. 53, No. 2, 1996

English language translation of the journal is available from maik nauka / Interperiodica Publishing (Russia). Distributed worldwide
by the American Institute of Mathematics. Doklady Mathematics ISSN Pending

Translated from Doklady Akademii Nauk, Volume 347, Nos. 1–6, 1996


Volume 53, March–April.

Mathematics

Embeddings of Spaces of Functions with Variable Smoothness

O. V. Besov p. 155  abstract

Adelic Formulas for Gamma and Beta Functions in Fields of Algebraic Numbers

V. S. Vladimirov p. 159  abstract

The Radon Transformation in a Band in Connection with Ray Seismic Tomography

S. V. Gol’din p. 164  abstract

Coding of Projections of an Outer Medium onto an Eye Retina and Restoration
of Three-Dimensional Images by These Projections

V. N. Kozlov p. 167  abstract

Estimates of Nonuniformity of Distributions of Congruent Sums of Random Variables

G. A. Mikhailov and M. V. Antipov p. 171  abstract

The Inverse Problem of Approximation by Algebraic Polynomials on Manifolds

S. M. Nikol’skii p. 174  abstract

On a Modification in the Averaging Principle for Degenerate Equations

M. I. Kamenskii p. 177  abstract

Certain Manifolds and Approximation on Them by Polynomials in the Metric Lp

S. M. Nikol’skii p. 180  abstract

Piecewise Regular Solutions of Difference Equations and Difference Potentials
with the Density from the Space of Jumps

V. S. Ryaben’kii p. 183  abstract

The Adaptive Projective-Net Method for Elliptic Problems

A. G. Sleptsov and Yu. I. Shokin p. 187  abstract

On Vanishing Viscosity in the Initial Boundary Problem for Navier–Stokes Equations

V. L. Khatskevich p. 191  abstract

Conformal Mappings That Satisfy the Boundary Condition of Equality of Metrics

F. G. Avkhadiev p. 194  abstract

On the Uniform Convergence of Functions in Heine’s Sense

G. I. Arkhipov, V. A. Sadovnichii, and V. N. Chubarikov p. 197  abstract

Two Radii Theorems on Constant Curvature Spaces

V. V. Volchkov p. 199  abstract

The Fragman–Lindelöf Principle for Quasi-Regular Mappings
of Manifolds and the Isoperimetry

M. Vuorinen, O. Martio, and V. M. Miklyukov p. 202  abstract

The Bruhat Higher Orders and M-Morsifications

G. G. Il’yuta p. 205  abstract

On Transitions to Stationary States in Some Infinite-Dimensional Hamiltonian Systems

A. I. Komech p. 208  abstract

Averaging of Nonstationary Stokes Flow in a Periodic Porous Medium

G. V. Sandrakov p. 211  abstract

Quasiconformal Mappings on Carnot Groups and Their Applications

S. K. Vodop’yanov p. 215  abstract

Finding Extremal Carcasses with Preset Vertex Degrees by the Replacement Method

A. F. Gorshkov and Yu. M. Solomentsev p. 219  abstract

The Sublinear Operator Method and Selector Problems

Yu. E. Linke p. 222  abstract

The Parabolic Spline Collocation Method of the Solution
to an Optimal Control Problem with Aftereffect

V. V. Strygin p. 225  abstract

The Localization of Solutions to Systems of Algebraic Equations
and Inequalities: The Hermite Method

A. Yu. Uteshev and T. M. Cherkasov p. 227  abstract

An Approach to the Approximate Solution
of Singular Integral Equations with a Non-Carleman Shift

A. A. Batyrev, V. G. Kravchenko, and G. S. Litvinchuk p. 230  abstract

On a Generalization of the Cauchy Problem

P. A. Zharov p. 233  abstract

Abelian ABA-Factorizations of Finite Groups

D. L. Zagorin and L. S. Kazarin p. 237  abstract

Spectral Measures and Rates of Convergence in the Ergodic Theorem

A. G. Kachurovskii p. 240  abstract

On the Principle of Length and Area for Plane Mappings with a Limited Distortion

B. P. Kufarev p. 244  abstract

On the Closeness of Attractors of Initial and Averaged Nonlinear Dissipative Systems

A. N. Filatov p. 248  abstract

The Inverse Problem of Determining a Source in a Stationary Transport Equation

V. A. Sharafutdinov p. 251  abstract

Problems with Deviation of Argument and Functional Boundary Conditions

S. A. Brykalov p. 254  abstract

Evolutionary Families of Analytic Functions
and Time-Nonhomogeneous Markov Branching Processes

V. V. Goryainov p. 256  abstract

Finite Approximations of Infinite Nonnegative Matrices
and the Convergence of Equilibrium Distributions

B. M. Gurevich p. 259  abstract

Oscillations of Means in the Ergodic Theorem

V. V. Ivanov p. 263  abstract

Generalized Exponential Series for Distributions

S. N. Melikhov p. 266  abstract

A Global Implicit Function Theorem and Fixed Point Theorems
for Holomorphic Mappings and Semigroups

S. Reich, V. Khatskevich, and D. Shoikhet p. 270  abstract


Mathematical Physics

Filtration of a Liquid through a Model Elastic Medium

V. G. Danilov and N. V. Kokotushkina p. 273  abstract

Laminar Nonisothermal Flows of a Ferrofluid in a Channel
of a Rectangular Cross-Section

V. F. Kravchenko, S. I. Kadchenko, and V. I. Pustovoit p. 277  abstract

Combination of the R-Function and Finite Difference Methods
in Space Problems of Mathematical Physics

Yu. V. Gulyaev, V. F. Kravchenko, V. L. Rvachev, and N. D. Sizova p. 281  abstract

Signals with a Spectrum Uniformly Distributed over p-Adic Numbers

A. Yu. Khrennikov p. 285  abstract


Informa tics

A Group-Invariant Approach to the Synthesis of Fault-Tolerant Systems

M. F. Karavai p. 290  abstract

Formation of the Description of an Image under Conditions of Indeterminacy

V. V. Kondrat’ev and V. A. Utrobin p. 295  abstract

On the Theory of Meters for Variables Modeled by Polynomial Coefficients

V. F. Kravchenko, V. D. Nagornyi, and V. I. Pustovoit p. 298  abstract


Control Theory

On the Nonuniform Asymptotic Stability of Dynamical Systems

V. P. Zhukov p. 303  abstract

Closable Feedback for Guaranteed Optimization
of Undeterminate Systems of Control

R. Gabasov, F. M. Kirillova, and E. A. Kostina p. 305  abstract

Necessary and Sufficient Conditions
for Quenching Auto-Oscillations in Nonlinear Systems

P. D. Krut’ko and G. A. Chkheidze p. 309  abstract

Forced Oscillations in Control Systems with Hysteresis

P.-A. Bliman, M. Sorine, A. A. Vladimirov, and A. M. Krasnosel’skii p. 312  abstract

The Problem of Quenching the Kinetic Energy
of a Dynamic System and Control Algorithms

P. D. Krut’ko p. 316  abstract

Structure Synthesis of Stabilizing and Invariant Controllers

Ya. Z. Tsypkin p. 320  abstract


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