Contents
Doklady Mathematics

Vol. 77, No. 2, 2008

English language translation of the journal is available from Pleiades Publishing, Ltd.
Distributed worldwide by Springer. Doklady Mathematics ISSN 1064–5624.

Translated from Doklady Akademii Nauk, Volume 419, Nos. 1–6, 2008

Volume 77, March–April.

Mathematics

The pth Order Optimality Conditions for Nonregular Optimization Problems

O. A. Brezhneva and A. A. Tret’yakov p. 163  abstract

On a Parameter-Based Asymptotics of Solutions to Differential Equations
with Coefficients from L₂(a, b)

A. I. Vagabov p. 166  abstract

Double Degeneracy in the Problem on Unbounded Branches of Forced Oscillations

A. M. Krasnosel’skii p. 170  abstract

On the Completeness of the Root Vector System of the Sturm–Liouville Operator
with General Boundary Conditions

M. M. Malamud p. 175  abstract

Stability of an Integral Curve of a Second-Order Ordinary Differential Equation
at the Intersection of Its Singular Set with the Axis y = 0

I. P. Pavlotsky and M. Strianese p. 179  abstract

Tight Wavelet Frames

M. A. Skopina p. 182  abstract

Divergence Conditions for Riesz Means of Rademacher Functions

G. A. Kalyabin p. 186  abstract

L_p,q-Cohomology of Some Warped Cylinders

Ya. A. Kopylov p. 189  abstract

The Pseudoperturbation Method in Generalized Eigenvalue Problems

B. V. Loginov and O. V. Makeeva p. 194  abstract

Asymptotic Behavior of the Spectrum of Perturbed Fractional Powers
of Differential Operators

Kh. Kh. Murtazin p. 198  abstract

On the Divergence of Multiple Fourier–Haar Series

G. G. Oniani p. 203  abstract

Behavior of the Trajectories of a Second-Order Ordinary Differential Equation
in a Neighborhood of a Singular Point

I. P. Pavlotsky and M. Strianese p. 205  abstract

Approximation and Variational Methods for Regularization of Ill-Posed Problems

V. Zh. Sakbaev p. 208  abstract

Inverse Problems for a Schrödinger-Type Equation

A. Kh. Amirov and M. Yamamoto p. 212  abstract

Power-Logarithmic Expansions of Solutions to a System of Ordinary Differential Equations

A. D. Bruno p. 215  abstract

Conjugate and Semiconjugate Direction Methods with Preconditioning Projectors

V. P. Il’in p. 219  abstract

Transformation of the Navier–Stokes Equations to Angular Variables

A. A. Kovalishin and V. I. Lebedev p. 223  abstract

Relative Elliptic Morphisms and Some of Their Applications

M. V. Korovina p. 226  abstract

Radon and Radon–Kipriyanov Transforms of Spherically Symmetric Functions

L. N. Lyakhov p. 229  abstract

To the Theory of Convex Regular-hedra

A. V. Timofeenko and A. M. Gurin p. 234  abstract

Existence and Nonexistence of a Global Solution to the Kuramoto–Sivashinsky Equation

V. A. Galaktionov, E. Mitidieri, and S. I. Pohozaev p. 238  abstract

On Gehring’s Lemma

V. V. Zhikov and S. E. Pastukhova p. 243  abstract

Mellin Transforms over Cayley–Dickson Algebras

S. V. Lyudkovskii p. 249  abstract

On the Regularization of Singular Systems of Linear Algebraic Equations by Shifts

V. A. Morozov, E. M. Mukhamadiev, and A. B. Nazimov p. 254  abstract

Improved Bicubic Finite-Element Approximation of the Neumann Problem
for Poisson’s Equation

B. V. Pal’tsev, A. V. Stavtsev, and I. I. Chechel’ p. 258  abstract

Analytic Continuation of the Change of Variable Formula for Smooth Measures

O. G. Smolyanov, H. von Weizsaecker, and O. Wittich p. 265  abstract

Computation of the Distance from an Ellipsoid to a Linear Surface and a Quadric in ⁿ

A. Yu. Uteshev and M. V. Yashina p. 269  abstract

Factorization of Condenser Space and Kernel Convergence

V. V. Aseev p. 273  abstract

Infinite Dimensional Kolmogorov Operators with Time Dependent Drift Coefficients

V. I. Bogachev, G. Da Prato, and M. Röckner p. 276  abstract

Smooth Feasible Solutions to a Dual Monge–Kantorovich Problem and Their Application
to the Best Approximation and Mathematical Economics Problems

V. L. Levin p. 281  abstract

The Normal Structure of Unipotent Subgroups in Lie-Type Groups and Related Questions

V. M. Levchuk and G. S. Suleimanova p. 284  abstract

Strong Closure Operators on the Set of Partial Boolean Functions

S. S. Marchenkov p. 288  abstract

Necessary and Sufficient Conditions for the Riesz Basis Property of the Eigen-
and Associated Functions of High-Order Differential Operators on an Interval

A. M. Sarsenbi p. 290  abstract

Reconstruction of Higher-Order Differential Operators on Compact Graphs

V. A. Yurko p. 293  abstract

On the C*-Algebra Generated by Multidimensional Integral Operators
with Homogeneous Kernels and Multiplicative Translations

O. G. Avsyankin p. 298  abstract

Integral Representations of Holomorphic Functions

I. I. Bavrin p. 300  abstract

Generalized Functions Obtained by the Regularization of Nonintegrable Functions

V. I. Bogachev and O. G. Smolyanov p. 302  abstract

On Harmonic Tensors on Three-Dimensional Lie Groups with Left-Invariant Riemannian Metric

O. P. Gladunova, E. D. Rodionov, and V. V. Slavskii p. 306  abstract

“Transport” Form of the Equations for a Periodic Incompressible Layer

O. V. Troshkin p. 310  abstract

Mathematical Physics

Exact Solutions to Some Classes of Nonlinear Integral, Integro-functional,
and Integro-differential Equations

A. D. Polyanin and A. I. Zhurov p. 315  abstract

Computer Science

Bicompact Schemes and Layered Media

N. N. Kalitkin and P. V. Koryakin p. 320  abstract

Errata

Erratum: “On Existence Conditions for Sequences Uniformly Distributed
with Respect to Voronoi’s Methods” [Doklady Mathematics 76 (1), 494 (2007)] p. 324

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