Contents
Doklady Mathematics
Vol. 86, No. 1, 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 445, Nos. 1–6, 2012
Volume 86, July–August.
Mathematics
Function Spaces of Smoothness Zero
O. V. Besov p. 447 abstract
Stable States and Representations of the Infinite Symmetric Group
A. M. Vershik and N. I. Nessonov p. 450 abstract
Optimization of the Boundary Control of String Vibrations at One String End
with a Given Mode at the Other End
E. I. Moiseev and A. A. Kholomeeva p. 454 abstract
On the Dimension Reduction of Linear Differential-Algebraic Control Systems
Yu. M. Nechepurenko p. 457 abstract
Diffusion and Quantum Dynamics of Particles with Position-Dependent Mass
V. Zh. Sakbaev and O. G. Smolyanov p. 460 abstract
Spatial Discretization of One-Dimensional Quasi-Gasdynamic Systems of Equations
and the Entropy and Energy Balance Equations
A. A. Zlotnik p. 464 abstract
The Existence of Strongly Computable Representations in the Class of Boolean Algebras
M. N. Leontyeva p. 469 abstract
Orthorecursive Expansions with Respect to Subspaces
T. P. Lukashenko and V. A. Sadovnichii p. 472 abstract
A Differential Equation for the Gauge Function of the Star-Shaped Attainability Set
of a Differential Inclusion
S. S. Mazurenko p. 476 abstract
Simple Disjunctive Normal Forms of Boolean Functions
with a Restricted Number of Zeros
Yu. V. Maximov p. 480 abstract
Regularization of Schrödinger Groups and Semigroups
V. Zh. Sakbaev and O. G. Smolyanov p. 483 abstract
On Automorphisms of a Strongly Regular Graph with Parameters (88, 27, 6, 9)
K. S. Efimov and A. A. Makhnev p. 488 abstract
On Existence and Uniqueness Classes for the Cauchy Problem
for the Parabolic p-Laplace Equation
V. V. Zhikov and M. D. Surnachev p. 492 abstract
Structure of Boundary Layers in Singular Problems
A. M. Il’in and O. Yu. Khachai p. 497 abstract
Graphs of Lipschitz Functions and Minimal Surfaces on Carnot Groups
M. B. Karmanova p. 500 abstract
Improvement of Convergence Rate Estimates in the Central Limit Theorem
under Weakened Moment Conditions
V. Yu. Korolev and S. V. Popov p. 506 abstract
Maxwell–Fejer Polynomials and Optimization of Polyharmonic Impulse
V. A. Kostin, D. V. Kostin, and Yu. I. Sapronov p. 512 abstract
Fixed Points of Modular Contractive Maps
V. V. Chistyakov p. 515 abstract
On Automorphisms of Distance-Regular Graph with Intersection Array {15, 12, 1; 1, 2, 15}
V. P. Burichenko and A. A. Makhnev p. 519 abstract
An Upper Bound for the Absolute Constant in the Nonuniform Version
of the Berry–Esseen Inequalities for Nonidentically Distributed Summands
M. E. Grigor’eva and S. V. Popov p. 524 abstract
An Analogue of the Liouville Theorem for Integrable Hamiltonian Systems
with Incomplete Flows
E. A. Kudryavtseva p. 527 abstract
Asymptotic Behavior of Solutions of Differential Equations
Describing Synchronous Machines
G. A. Leonov and A. M. Zaretskii p. 530 abstract
The Boundary Behavior of Functions with Vanishing Integrals
Over Hyperbolic Disks
O. A. Ochakovskaya p. 534 abstract
Data Surfaces of Physical Experiments
V. V. Ternovskii and M. M. Khapaev p. 537 abstract
Haar Series and Spaces Determined by the Paley Function
S. V. Astashkin and E. M. Semenov p. 539 abstract
Equiconvergence of Spectral Decompositions of Hill Operators
P. B. Djakov and B. S. Mityagin p. 542 abstract
Ordinary Differential Equations with a Non-Lipschitz Right-Hand Side
O. E. Zubelevich p. 545 abstract
Conditions for Localization of the Limit Spectrum of a Model Operator Associated
with the Orr–Sommerfeld Equation
Kh. K. Ishkin p. 549 abstract
Estimates for the Convergence Rate of Spectral Decompositions
of Even-Order Differential Operators
I. S. Lomov and A. S. Markov p. 553 abstract
Asymptotic Normality of Adaptive Wavelet Thresholding Risk Estimation
O. V. Shestakov p. 556 abstract
Sharp Bounds for the Type of an Entire Function of Order Less Than 1 Whose Zeros
Are Located on a Ray and Have Given Averaged Densities
G. G. Braichev p. 559 abstract
Operators on Cones of Monotone Functions
A. Gogatishvili and V. D. Stepanov p. 562 abstract
On the Relationship between the Generalized Student t-Distribution
and the Variance Gamma Distribution in Statistical Analysis of Random-Size Samples
V. Yu. Korolev p. 566 abstract
Parameter Differentiation of Linear Operators with a Parameter-Dependent Domain
F. E. Lomovtsev p. 571 abstract
Mathematical Physics
Gaps in the Spectrum of the Neumann Problem on a Perforated Plane
S. A. Nazarov, K. Ruotsalainen, and J. Taskinen p. 574 abstract
Computer Science
Symmetry Rules in DNA
A. M. Gupal and I. V. Sergienko p. 579 abstract
High-Order Accurate Running Compact Scheme
for Multidimensional Hyperbolic Equations
B. V. Rogov p. 582 abstract
Control Theory
Stability Domain Analysis of an Antiwindup Control System for an Unstable Object
G. A. Leonov, N. V. Kuznetsov, and A. Yu. Pogromskii p. 587 abstract
Stabilizability of Bilinear Systems of Canonical Form
S. V. Emel’yanov and A. P. Krishchenko p. 591 abstract
Errata
Erratum: “Compression Based Homogeneity Testing” [Dokl. Math. 85, 251–254 (2012)]
M. B. Malyutov p.595
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