People of Soviet science


Konstantin Sergeevich Sibirskiǐ (on the occasion of his 60th birthday)

371 

Ordinary Differential Equations


Flickering systems I. N. Blinov

376 

An approach to the construction of the asymptotics of the solution of the singularly perturbed Cauchy problem with initial values of the unknown functions that are unbounded with respect to the parameter V. Ya. Glizer

383 

Determination of the characteristic vectors of functions of several variables and of stability in the first approximation È. I. Grudo, P. G. Lasy

389 

Stability of homogeneous semigroups M. I. Letavin

393 

Existence of strong solutions of differential equations in a Hilbert space V. I. Maksimov

398 

Sufficient conditions for optimality in problems with delays M. D. Mardanov

408 

Investigation of the stability of autonomous singularly perturbed systems on the basis of matrix Lyapunov functions A. A. Martynyuk, V. G. Miladzhanov

416 

Algebraic operations that are consistent with the dynamics of continuous nonlinear control systems A. I. Panasyuk

425 

Partial Differential Equations


A criterion for the absolute $\bar{c}$stability of partial differential equations V. M. Borok

438 

On the existence of solutions of the Cauchy problem and of linear boundary value problems for a secondorder parabolic equation in an unbounded domain. II L. I. Kamynin

445 

The variational Dirichlet problem for an elliptic operator that is degenerate on the boundary N. V. Miroshin

455 

Regularity classes of bilinear forms, and nonlinear elliptic boundary value problems A. I. Perov, V. L. Khatskevich

464 

On thirdorder degenerate operatordifferential equations N. M. Yataev

477 

Integral Equations and IntegralDifferential


Direct methods for solving a singular integrodifferential equation M. G. Akhmadiev

482 

The onesided invertibility of functional operators and the $n(d)$normality of singular integral operators with shift in Hölder spaces Yu. I. Karlovich, R. Mardiev

488 

Stability in the large of integrodifferential equations of nondirect control systems G. A. Leonov, V. B. Smirnova

500 

Completeness of the root vectors of a system of integrodifferential equations of reactor kinetics R. S. Makin

508 

Eigenvalues and eigenfunctions of an integrodifferential operator A. I. Perov, E. G. Glushko, I. G. Tyuleneva

516 

Short Communications


An inverse problem for a system of parabolic equations A. Ya. Akhundov

520 

Application of Lyapunov functions to the investigation of the interval of existence of a solution B. V. Zadvornyi

522 

Uniqueness of the solution of the Tricomi problem for an equation of mixed type A. A. Kosovets

523 

The Green function of a differentialdifference equation V. G. Kurbatov

525 

Spline methods for solving a class of integrodifferential equations A. I. Leonov

527 

Propagation of flexural waves through an inhomogeneous plate with slowly changing parameters G. S. Markosyan

530 

On the alternative method for the biharmonic equation G. Markhasev

532 

Autonomous Hamiltonian systems with univalent moving singularities V. I. Matatov, S. N. Filippovich

534 

Degenerate nonlinear elliptic differential equations of infinite order in weighted Sobolev–Orlicz spaces Nguyen Minh Chuong, Le Kuang Chung

535 

Rate of decay of the solutions of some elliptic and ultraelliptic equations S. M. Sitnik

538 

Asymptotic behavior of the solutions of basic mixed problems in the exterior of a compact set for an equation of the propagation of perturbations in elastoviscous media I. V. Suveyka

539 

An estimate for the solutions of systems of differential equations on an asymptotically large segment by the averaging method O. P. Filatov

542 

Letters to the Editor


Letter to the editor: “Estimates for localized unbounded solutions of quasilinear parabolic equations” V. A. Galaktionov, S. A. Posashkov

545 