Partial Differential Equations Ordinary Differential Equations Contents

Contents

Vol. 41, No. 6, 2005

Simultaneous English language translation of the journal is available from Pleiades Publishing, Inc.

Distributed worldwide by Springer. Differential Equations ISSN 0012-2661.

Ordinary Differential Equations

Existence and Asymptotics of Solutions for a Class of Second-Order Quasilinear Ordinary Differential Equations

R. G. Akhmetov 757 The Eigenvalue and the Eigenfunction of the Sturm-Liouville Problem

Treated as Analytic Functions of the Integrable Potential

V. A. Vinokurov 764 Strong Stability of Linear Hamiltonian Systems in Total Differentials

with Periodic Coefficients

I. V. Gaishun 773 On the Structure of Generalized Hyperbolic Attractors of Mappings

That Are Not One-to-One

V. A. Dobrynskii 780 On the Neumann Problem for an Ordinary Differential Equation

with Discontinuous Right-Hand Side

A. V. Zuev and V. V. Filippov 791 Asymptotic Integration of Differential Equations with Oscillatory Terms

of Large Amplitudes: I

V. B. Levenshtam 797 A Second-Order Continuous Regularization Method for Nonlinear

d-Accretive Equations in a Banach Space

I. P. Ryazantseva and O. Yu. Bubnova 808 An Inverse Problem for Differential Systems on a Finite Interval

in the Case of Multiple Roots of the Characteristic Polynomial

V. A. Yurko 818

Partial Differential Equations

Linear Differential Relations Between Solutions of a Class of Euler-Poisson-Darboux Equations

A. V. Aksenov 824 A Criterion for the Existence of Eigenfunctions of the Darboux-Protter

Spectral Problem for Degenerating Multidimensional Hyperbolic Equations

S. A. Aldashev 833

The First Boundary Value Problem for a Parabolic Equation on a Manifold

Yu. N. Bernatskaya 840 Time-Nonlocal Problems for Schrodinger Type Equations:

II. Results for Specific Problems

D. G. Gordeziani and G. A. Avalishvili 852

The Cauchy Problem for the Heat Equation in Zygmund Spaces

A. N. Konenkov 860 Blow-Up of the Solution of an Initial-Boundary Value Problem

for a Nonhomogeneous Equation of Pseudoparabolic Type

M. O. Korpusov 873 Solvability of a Parabolic Transmission Problem with the Condition

of a Generalized Proper Lumped Source

V. V. Semenov 878

A Method for Studying a Coupled System of Differential Equations

Yu. T. Sil'chenko 887

Chronicle

On the Seminar on Qualitative Theory of Differential Equations

at Moscow State University 895