Contents
Doklady Mathematics

Vol. 85, No. 3, 2012

A simultaneous English language translation of this journal is available from Pleiades Publishing, Ltd.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064-5624.

Translated from Doklady Akademii Nauk, Volume 444, Nos. 1–6, 2012

Volume 85, May–June.

Mathematics

Inverse Function in the Neighborhood of an Abnormal Point of a Smooth Map

E. R. Avakov, A. V. Arutyunov, and D. Yu. Karamzin p. 305  abstract

Integrable Solutions of the Stationary Kolmogorov Equation

V. I. Bogachev, A. I. Kirillov, and S. V. Shaposhnikov p. 309  abstract

Multidimensional Perron Sign Change Effect for All Characteristic Exponents
of Differential Systems

S. K. Korovin^† and N. A. Izobov p. 315  abstract

On Small Symmetric Strongly Regular Graphs

A. A. Makhnev and M. S. Nirova p. 321  abstract

The Modified Majorant Frequency Method for Numerical Simulation
of the Generalized Exponential Distribution

G. A. Mikhailov and S. V. Rogazinskii p. 325  abstract

On Second-Order Necessary Optimality Conditions
in Finite-Dimensional Abnormal Optimization Problems

E. R. Avakov, A. V. Arutyunov, and D. Yu. Karamzin p. 328  abstract

Sobolev Regularity for the Infinite-Dimensional Monge–Ampère Equation

V. I. Bogachev and A. V. Kolesnikov p. 331  abstract

Power-Exponential Expansions of Solutions to an Ordinary Differential Equation

A. D. Bruno p. 336  abstract

Boolean-Valued Analysis and Injective Banach Lattices

A. G. Kusraev p. 341  abstract

On Amply Regular Locally GQ(4, 6)-Graphs

A. A. Makhnev, D. V. Paduchikh, and M. M. Khamgokova p. 344  abstract

Effective Integral Representation of a Boundary Value Problem
with Mixed Boundary Conditions

T. E. Moiseev p. 347  abstract

On Positive and Probability Solutions to the Stationary Fokker–Planck–Kolmogorov Equation

V. I. Bogachev, M. Röckner, and S. V. Shaposhnikov p. 350  abstract

On the Oscillation of Eigenfunctions of a Fourth-Order Spectral Problem

N. B. Kerimov, Z. S. Aliev, and E. A. Agaev p. 355  abstract

Pseudodifferential Operators on Adele Rings and Wavelet Bases

A. V. Kosyak, A. Yu. Khrennikov, and V. M. Shelkovich p. 358  abstract

On Graphs in Which the Neighborhoods of Vertices Are Strongly Regular with Eigenvalue 2

A. A. Makhnev and M. S. Nirova p. 363  abstract

Spectral Surgery for the Schrödinger Operator on Graphs

A. N. Bondarenko and V. A. Dedok p. 367  abstract

Antilinear Operators and Symplectic Matrix Algebra

Kh. D. Ikramov p. 369  abstract

Dirichlet Problem for the Laplace Equation in the Exterior of Open Lipschitz Surfaces

P. A. Krutitskii p. 372  abstract

The Nonlocal Reduction Method in Analyzing the Stability of Differential Equations
of Induction Machines

G. A. Leonov and E. P. Solov’eva p. 375  abstract

Asymptotic Form of the Solution of the Boundary Value Problem
for a Quasilinear Elliptic Equation in a Curvilinear Trapezoid

M. M. Sabzaliev p. 380  abstract

Spectral Surgery Technology for Quantum Graphs

A. N. Bondarenko and V. A. Dedok p. 384  abstract

Equations of the Form = A with Skew-Hamiltonian Matrices A

Kh. D. Ikramov p. 388  abstract

Complexity of Quasivariety Lattices of Pointed Abelian Groups

M. I. Imanaliev and A. M. Nurakunov p. 391  abstract

Distance Graphs with Large Chromatic Numbers and Small Clique Numbers

A. B. Kupavskii and A. M. Raigorodskii p. 394  abstract

Study of a Mixed Problem Describing the Oscillations of a Rod Consisting
of Several Segments with Arbitrary Lengths

A. M. Rogozhnikov p. 399  abstract

Limit Theorems for Local Particle Numbers in Branching Random Walk

E. Vl. Bulinskaya p. 403  abstract

Uniqueness of Determination of a Source Function in a Quasilinear Inverse Stefan Problem
with Final Observation

N. L. Gol’dman p. 406  abstract

Minimal Periods of Solutions of Lipschitzian Differential Equations in a Vector Space
with an Arbitrary Norm

A. A. Zevin p. 411  abstract

Analogues of the Frobenius Problem

V. K. Leont’ev p. 414  abstract

Mathematical Physics

Hamiltonian Aspects of Quantum Theory

V. V. Kozlov and O. G. Smolyanov p. 416  abstract

Computer Science

A Theorem on the Unified Rhythm of a Self-Oscillatory Wiener–Rosenblueth Active Medium

M. E. Mazurov p. 421  abstract

Construction of Suboptimal Coverings of the Multidimensional Unit Sphere

G. K. Kamenev, A. V. Lotov, and T. S. Mayskaya p. 425  abstract

Optimal Organization of an Inspection Structure

A. A. Vasin, P. V. Nikolaev, and A. S. Urazov p. 428  abstract

On the Uniqueness of Determination of a Vocal Source from a Speech Signal
and Formant Frequencies

A. S. Leonov and V. N. Sorokin p. 432  abstract

Control Theory

Optimal Control of a Dynamic System Using Perfect Measurements of Its States

R. Gabasov, F. M. Kirillova, and N. S. Pavlenok p. 436  abstract

Key Information to Control Solutions of Linear Difference Schemes in Composite Domains

V. S. Ryaben’kii p. 441  abstract

A Solution to Anisotropic Suboptimal Filtering Problem by Convex Optimization

V. N. Timin, M. M. Tchaikovsky, and A. P. Kurdyukov p. 443  abstract

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