Contents
Doklady Mathematics

Vol. 54, No. 1, 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 348, Nos. 1–6, 1996

Volume 54, July–August.

Monotonic Iterative Processes for Operator Equations
in Semiordered Spaces

Corresponding Member of the RAS V. V. Vasin p. 487  abstract

Singular Integral Operators with Piecewise Continuous Coefficients in Reflexive Orlicz Spaces

A. Yu. Karlovich p. 490  abstract

Constructing Adaptive Nets by the Projection Method

V. D. Liseikin and V. E. Petrenko p. 493  abstract

A Solution to the Helmholtz Equation
with a Complex Parameter and Realization
of the Fourier Transform by the Monte Carlo Method

Corresponding Member of the RAS G. A. Mikhailov and B. V. Men’shchikov p. 497  abstract

Problem of the Composition
of Constructive Transrecursive Operators

V. G. Naidenko p. 500  abstract

Iterative Cluster Aggregation Methods
for Systems of Linear Equations

Academician A. A. Samarskii and P. N. Vabishchevich p. 502  abstract

About Nontrivial Solutions and Bifurcation Points
of the Vlasov–Maxwell System

N. A. Sidorov and A. V. Sinitsyn p. 506  abstract

Estimates of Degree of Convergence
under Alternatives of Some Statistics

V. E. Bening p. 510  abstract

Hamiltonian Truncated Systems of a Hamiltonian System

A. D. Bryuno and A. Soleev p. 512  abstract

On Conformal Equivalence of Multipoint Problems

Yu. A. Dubinskii p. 515  abstract

An Estimate, Accurate to within a Constant Factor
and Uniform in RN for N = 2 and N = 3, of the Increment
of the Spectral Function with Respect to the Spectral Parameter for a Schrödinger Operator with a Potential Satisfying
the Kato Condition when the Spectral Function
Is Taken on the Diagonal

Academician V. A. Il’in and E. I. Moiseev p. 518  abstract

C1-Approximation of Solutions to Systems
of Differential Equations with Piecewise
Continuous Right-Hand Sides

A. Yu. Kolesov and N. Kh. Rozov p. 521  abstract

A Phenomenological Model of the Statistics of Cycle Lengths
and the First Recurrence Moments
in Discretizations of Dynamic Systems

Academician N. A. Kuznetsov, V. S. Kozyakin, and A. V. Pokrovskii p. 524  abstract

Structurally Open Subsets of Stable Matrices

D. O. Logofet p. 528  abstract

Topological Types of Some Symmetrical Products

M. T. Marjanovic and S. T. Vrechitsa p. 531  abstract

Asymptotic Stability of Solutions to Systems
of Nonstationary Differential Equations
with Homogeneous Right-Hand Sides

A. Yu. Aleksandrov p. 534  abstract

Weakly Ill-posed Volterra-Type Problems
of Integral Geometry

Akram Kh. Begmatov p. 536  abstract

An Algorithm for Corporate-Account Transactions
through Banks

I. O. Golosnoi, D. S. Guzhev, and Corresponding Member of the RAS N. N. Kalitkin p. 538  abstract

Sums of Fractional Parts of Functions of a Special Form

A. A. Karatsuba p. 541  abstract

Integer-valued Representations of Finite Groups
with the Galois Action

D. A. Malinin p. 542  abstract

Zs-Mappings of K-Analytic Spaces

E. G. Pytkeev p. 545  abstract

The Variational Method of M.A. Lavrent’ev and the Hilbert Problem for Multiply Connected Circular Domains

A. S. Sorokin p. 547  abstract

Bayes Estimates and the Identification of Functional Relations

I. A. Boguslavskii p. 551  abstract

Stability of Discrete Systems in a Critical Case

K. B. Bopaev p. 554  abstract

On Asymptotic Symmetry under Quasiconformal Mappings

V. Ya. Gutlyanskii and V. I. Ryazanov p. 558  abstract

On the Boundedness of Inhomogeneous Branching Diffusion
on a Straight Line

F. I. Karpelevich and Yu. M. Sukhov p. 560  abstract

The Asymptotic Solution to the Dirichlet Problem
for the Nonstationary System of Equations of Elasticity Theory

A. E. Lapshin p. 562  abstract

Asymptotics of Solutions to Equations with an Operator-valued Symbol in Problems of Quantum Field Theory

Academician V. P. Maslov and O. Yu. Shvedov p. 566  abstract

Boundary Value Problems for a Differential Equation
with a Singularity

V. A. Yurko p. 571  abstract

Estimates in the Bloch Class and Their Generalizations

F. G. Avkhadiev and I. R. Kayumov p. 574  abstract

A Cauchy Problem for A-Harmonic Functions

E. V. Arbuzov and A. L. Bukhgeim p. 577  abstract

The Classical Hurwitz Problem and the Associated Theory
of Functions

N. L. Vasilevskii, E. Ramírez de Arellano, and M. V. Shapiro p. 579  abstract

The Local Method in Pairs of Lp-Spaces and the Index

V. M. Deundyak and I. B. Simonenko p. 583  abstract

On the Basis Property of Systems of Eigenfunctions
and Associated Functions
of a Second-Order Differential Operator

N. B. Kerimov p. 587  abstract

Approximation and Regularization of Optimal Control Problems for Parabolic Equations with Controls in Coefficients

F. V. Lubyshev p. 589  abstract

Two-Dimensional Contrast Steplike Structures:
Asymptotic Behavior, Existence, Stability

N. N. Nefedov p. 594  abstract

The Mean-Value Theorem in the Theory of Prime Numbers

Z. Kh. Rakhmonov p. 597  abstract

Functions That are One-Sheeted with Weight

I. I. Bavrin p. 599  abstract

Real Interpolation of a Family of Spaces of Smooth Functions

Yu. A. Brudnyi and N. Ya. Kruglyak p. 601  abstract

On the Problem of Controlling Catastrophes

V. V. Velichenko p. 604  abstract

On Spectral Problems Arising in the Theory
of the Parabolic–Hyperbolic Heat Equation

N. Yu. Kapustin p. 607  abstract

The Cauchy Problem for Some Models
of One-Dimensional Gas Dynamics

Yu. G. Rykov p. 611  abstract

Generatrissa: the Problems of Maxwell and Voronoi

S. S. Ryshkov and K. A. Rybnikov (Jr.) p. 614  abstract

On frame0-Samples

I. G. Tsar’kov p. 618  abstract

An Investigation of the Diffraction of Elastic Waves
by a Plate with Two Holes of Arbitrary Shape

Academician Yu. V. Gulyaev, V. F. Kravchenko, V. L. Rvachev, and N. D. Sizova p. 620  abstract

On Bilinear Series for the Green Function

V. V. Dubrovskii and M. I. Tikhnovetskii p. 625  abstract

Fast Computation of the Riemann Zeta Function
at Integer Argument Values

E. A. Karatsuba p. 626  abstract

The Recurrent Form of the Least Squares Method in Parameters that Have To Be Determined

Yu. I. Neimark and L. G. Teklina p. 627  abstract

A Learning Metric as a Recognition Intellect

Yu. I. Neimark p. 629  abstract

A Generalized Problem of Quadratic Programming

V. V. Dikusar p. 631  abstract

Estimation of the Attainability Sets of Linear Systems
with an Indeterminate Matrix

Academician F. L. Chernous’ko p. 634  abstract

An Optimal Feedback on the Basis of a Mathematical Model
with Test Perturbations

R. Gabasov and F. M. Kirillova p. 637  abstract

The Stability of Discrete Volterra Equations

V. B. Kolmanovskii p. 640  abstract

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