Contents
Doklady Mathematics

Vol. 57, No. 2, 1998

English language translation of the journal is available from / Interperiodica Publishing (Russia). Distributed worldwide
by the American Institute of Mathematics. Doklady Mathematics ISSN 1064-5624.

Translated from Doklady Akademii Nauk, Volume 359, Nos. 1–6, 1998

Volume 57, March–April.

Mathematics

On the Convergence of Gradient-Type Methods for Nonlinear Equations

V. V. Vasin p. 173  abstract

The Semi-Fredholmness of Singular Integral Operators
with Matrix Semi-Almost Periodic Coefficients

Yu. I. Karlovich and I. M. Spitkovskii p. 176  abstract

Classification of Poisson Homogeneous Spaces of Compact Poisson–Lie Groups

E. A. Karolinskii p. 179  abstract

The Expressibility and Completeness Conditions for Sheaves of Logical Functions

V. V. Kudryavtsev p. 182  abstract

The Behavior of the Solution to the Mixed Problem for Elliptic Equations
in Neighborhoods of Singular Points and at Infinity

E. M. Landis and A. I. Ibragimov p. 185  abstract

Operators of the Hardy Type in Banach Functional Spaces on the Semiaxis

E. N. Lomakina and V. D. Stepanov p. 187  abstract

Properties of Resolvent Sets and Estimates for Resolvents of Nonlinear Operators

V. A. Trenogin p. 190  abstract

Algebra of Singular Integral Operators on the Lebesgue Space
with a Muckenhoupt Weight on a Closed Carleson Curve

A. Böttcher and Yu. I. Karlovich p. 193  abstract

Foundations of the Nonlinear Theory of the Potential of Elliptic Equations

S. K. Vodop’yanov and I. G. Markina p. 197  abstract

On the Conditionality of Eigenvalues Close to the Boundary of the Numerical Range of a Matrix

Kh. D. Ikramov and V. N. Chugunov p. 201  abstract

Sufficient Conditions for Global Minimums in Nonconvex Programming Problems

E. S. Levitin p. 203  abstract

The Matrix-valued Lyapunov Functional and Stability of Systems with Delay

A. A. Martynyuk and Sung Chzheng Tsi p. 207  abstract

Algebraic Point Lattices of Quasi-Varieties

K. V. Adaricheva, V. A. Gorbunov, and W. Dziobiak p. 210  abstract

Applicability of the Linearization Method for Calculating
the Bifurcation Points of a Class of Operator Equations

S. A. Vavilov and E. O. Stepanov p. 212  abstract

On the Coercive Solvability of Differential-Operator Equations in Spaces of the Besov Type

M. S. Dzhabrailov p. 215  abstract

The Search for an Equilibrium for the Extremal Mapping

E. S. Levitin p. 218  abstract

Realization of Functions in P_k by Circuits of Functional Elements over an Arbitrary Basis

V. A. Orlov p. 222  abstract

Sufficient Conditions for Stability in Critical Cases

A. I. Perov p. 224  abstract

On a Finite Matrix Group and Orbit Codes on Euclidean Spheres

V. M. Sidel’nikov p. 227  abstract

Almost Periodic Solutions to Weakly Nonlinear Equations in Critical Cases

S. M. Chuiko p. 230  abstract

Boundary-Value Problems for High-Order Equations of the Mixed Parabolic–Hyperbolic Type

T. D. Dzhuraev and M. Mamazhanov p. 233  abstract

Semigroup Properties of the Hölder Averaging

M. I. Zaitseva and V. D. Repnikov p. 236  abstract

An Optimization Algorithm for Solving the Cauchy Problem for the Elliptic Equation

S. I. Kabanikhin and A. L. Karchevskii p. 239  abstract

Transversal Homoclinic Poincare Trajectories near a Saddle–Center Loop
in a 2N-Dimensional Hamiltonian System

O. Yu. Kol’tsova and L. M. Lerman p. 242  abstract

Minimax and Viscosity Solutions to Discontinuous First-Order Partial Differential Equations

A. S. Lakhtin and A. I. Subbotin^† p. 246  abstract

The Absence of Global Positive Solutions to Quasilinear Elliptic Inequalities

E. Mitidieri and S. I. Pokhozhaev p. 250  abstract

Concentration Functions and the Accuracy of Approximation
by Infinitely Divisible Laws in a Hilbert Space

S. V. Nagaev p. 254  abstract

Rotational Invariance of Splines

N. N. Kalitkin, L. V. Kuz’mina, and E. V. Maevskii p. 257  abstract

Geometry of the Best Approximations

N. G. Moshchevitin p. 261  abstract

An Analytical Approach to the Markov Chains Recursive
in the Sense of Harris, and the Berry–Esseen Estimate

S. V. Nagaev p. 264  abstract

Approximation of Functions on Noncompact Symmetric Spaces in the Quadratic Mean

S. S. Platonov p. 267  abstract

The Gakhov Decomposition of Degenerating Pseudodifferential Operators

E. V. Semenko p. 271  abstract

Cascadic Iterative Algorithms

V. V. Shaidurov p. 274  abstract

Variational Conformally Invariant Inequalities and Their Applications

F. G. Avkhadiev p. 278  abstract

On Elementary Invariant Running-Wave Solutions
for the Kolmogorov–Petrovskii–Piskunov Equation

L. M. Berkovich p. 282  abstract

The “Orthogonal” Expansion of Sobolev Spaces in a Sum of Analytic and Coanalytic Subspaces

Yu. A. Dubinskii and A. S. Osipenko p. 286  abstract

The Green Formula for General Elliptic Boundary-Value Problems
for Equations of the Douglis–Nirenberg Structure

I. Ya. Roitberg and Ya. A. Roitberg p. 290  abstract

On the Validity of the Generalized Localization
for Double Trigonometric Fourier Series of Functions from Lln⁺Lln⁺ln⁺L

T. Yu. Roslova p. 295  abstract

Mathematical Physics

An Exactly Solvable Model of a Mesoscopic Two-Dimensional System
of Solid Particles in a Narrow Cavity

S. S. Abramchuk and A. R. Khokhlov p. 297  abstract

Informatics

Systems of Logical Relations as Models of Object Domains

I. L. Artem’eva, T. L. Gavrilova, and A. S. Kleshchev p. 301  abstract

The Resolution Method for First-Order Predicate Logic with Interpreted Predicates

S. A. Nigiyan p. 303  abstract

A Visual Method for Parameter Estimation

G. K. Kamenev p. 305  abstract

Stochastic Tomography

V. V. Aristov, N. G. Ushakov, and A. P. Ushakova p. 308  abstract

Flow Approach to Temporal–Structural Coordination of Digital Computing Units and Systems

V. V. Kondrat’ev and Yu. S. Bazhanov p. 311  abstract

New Class of Signals for Data Transmission— Wideband Chaotic Signals

Yu. V. Gulyaev, V. Ya. Kislov, and V. V. Kislov p. 314  abstract

Control Theory

Controllability, Robustness, and Invariance of Invertible Systems with Nonlinear Dynamics

A. V. Timofeev p. 319  abstract

The Generalized Problem of H-Optimal Control with the General Quadratic Functional

A. M. Gul’chak p. 323  abstract

Constrained Control of a Mechanical System in Conditions of Uncertainty

I. M. Anan’evskii p. 328  abstract

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