P2
Contents
Doklady Mathematics
Vol. 83, No. 2, 2011
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 437, Nos. 1–6, 2011
Volume 83, March–April.
Mathematics
A Criterion for Unitary Congruence between Matrices
Yu. A. Al’pin and Kh. D. Ikramov p. 141 abstract
Method of Successive Approximations for the Riemann Problem
with a Small-Amplitude Discontinuity
P. E. Karabut and V. V. Ostapenko p. 143 abstract
Differential Equations with Degeneracies
M. V. Korovina and V. E. Shatalov p. 149 abstract
Fixed Points of Frobenius Groups of Automorphisms
N. Yu. Makarenko, E. I. Khukhro, and P. Shumyatsky p. 152 abstract
Field Theory Equations with Spinor Gauge Symmetry
N. G. Marchuk p. 155 abstract
Finite Algorithms for Verifying Unitary Similarity and Unitary Congruence
for a Pair of Complex Matrices
Kh. D. Ikramov p. 158 abstract
On the Spectrum of the Sturm–Liouville Operator with Degenerate Boundary Conditions
A. S. Makin p. 161 abstract
Multidimensional Volterra-Type Integral Equation with Singular Boundary Domains in Kernels
N. Rajabov p. 165 abstract
Equiconvergence Theorems in Sobolev and Hölder Spaces of Eigenfunction Expansions
for Sturm–Liouville Operators with Singular Potentials
I. V. Sadovnichaya p. 169 abstract
Optimal Boundary Control of String Vibrations with a Model Nonlocal Boundary Condition
of One of Two Types
A. A. Kholomeeva p. 171 abstract
Isomorphisms of General Linear Groups Over Associative Rings
Graded by a Commutative Group
A. S. Atkarskaya, E. I. Bunina, and A. V. Mikhalev p. 175 abstract
On the Choice of Weight Functions in Hardy-Type Inequalities
Yu. A. Dubinskii p. 177 abstract
Asymptotics Solutions of Equations with Higher-Order Degeneracies
M. V. Korovina p. 182 abstract
On Isothermal Coordinates of Locally Lipschitz Surfaces with Singularities
V. M. Miklyukov p. 185 abstract
Asymptotic Bounds for the Modulus of an Entire Function of Noninteger Order
in Terms of a Majorant of Its Zero Counting Function
A. Yu. Popov p. 188 abstract
A posteriori Error Estimates for Approximate Solutions of Irregular Operator Equations
A. B. Bakushinsky p. 192 abstract
Simultaneous Diophantine Approximations with Nonmonotonic Error Function
N. V. Budarina p. 194 abstract
Analogues of the Liouville Theorem for Solutions of the Twisted Convolution Equation
V. V. Volchkov and Vit. V. Volchkov p. 197 abstract
Method for Determining Partial Indices of Symmetric Matrix Functions
A. F. Voronin p. 201 abstract
Scale Limit of a Variational Inequality Modeling Diffusive Flux in a Domain
with Small Holes and Strong Adsorption in Case of a Critical Scaling
W. Jäger, M. Neuss-Radu, and T. A. Shaposhnikova p. 204 abstract
p-Adic Integral Operators in Wavelet Bases
S. V. Kozyrev and A. Yu. Khrennikov p. 209 abstract
Classification of Integrable Hamiltonian Systems with Nondegenerate Singularities on P2
A. A. Oshemkov p. 213 abstract
Superstrictly Singular Embeddings of Rearrangement Invariant Spaces
Y. Raynaud, E. M. Semenov, and F. L. Hernandez p. 216 abstract
Solvability of the Dirichlet Problem for a Second-Order Elliptic Equation
with a Boundary Function from Lp
A. K. Gushchin p. 219 abstract
Methods for Constructing Complete Involutive Sets of Polynomials
on Semidirect Sums of Lie Algebras
M. M. Derkach p. 222 abstract
The Regularized Trace of the Perturbed Laplace–Beltrami Operator
on a Certain Family of Manifolds
T. V. Zykova p. 225 abstract
A Class of Systems of Linear Fredholm Integral Equations of the Third Kind
M. I. Imanaliev, A. Asanov, and R. A. Asanov p. 227 abstract
Iterative Spaces of Locally Integrable Functions
V. A. Kostin, A. V. Kostin, and D. V. Kostin p. 232 abstract
General Preferences and Utility Functions.
An Approach Based on the Dual Kantorovich Problem
V. L. Levin p. 236 abstract
Multidimensional Variational Splines in General Banach Spaces
M. D. Ramazanov p. 238 abstract
Two-Weight Inequalities for the Hilbert Transform of Monotone Functions
V. D. Stepanov and S. Yu. Tikhonov p. 241 abstract
Huge Rise in Gold and Oil Prices As a Precursor of a Global Financial and Economic Crisis
A. A. Akaev, V. A. Sadovnichii, and A. V. Korotaev p. 243 abstract
Cesaro Summation of Fourier Series of Functions from Multidimensional Waterman Classes
A. N. Bakhvalov p. 247 abstract
Averaging Operator on Countable Directed Graphs and Its Inversion Formula
M. I. Graev and A. V. Koganov p. 250 abstract
Structure of Clones in the Precomplete Class of Self-Dual Functions in Three-Valued Logic
D. N. Zhuk p. 254 abstract
Dynamics of an Equation with a Large Coefficient of Delay Control
I. S. Kashchenko p. 258 abstract
Reduction of Knots in Thickened Surfaces and Virtual Knots
F. G. Korablev and S. V. Matveev p. 262 abstract
Relation between Moduli of Smoothness and Partial Sums of Fourier Series
and Embedding Theorems for Nikol’skii Classes
B. V. Simonov p. 265 abstract
Computer Science
Versions of the Method of Nonuniform Coverings for Global Optimization
of Mixed Integer Nonlinear Problems
Yu. G. Evtushenko and M. A. Posypkin p. 268 abstract
Estimation of the Distance between Images under Translation
V. L. Arlazarov, O. A. Slavin, and A. G. Khovanskii p. 272 abstract
Control Theory
Decomposition of Linear-Quadratic Optimal Control Problems for Two-Steps Systems
G. A. Kurina and Y. Zhou p. 275 abstract
Maximal Invariant Compact Sets of Dynamical Systems
A. N. Kanatnikov, S. K. Korovin, and A. P. Krishchenko p. 278 abstract
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