Ordinary Differential Equations


Criteria for the global asymptotics of stationary sets of systems of differential equations with a hysteresis nonlinearity N. E. Barabanov

739 

Conditions for the existence of solutions that do not require isolation of the linear part in the boundary conditions S. A. Brykalov

749 

Uniqueness of the determination of the distortions of a crystalline lattice by the xray diffraction method in a continuous dynamical model M. V. Klibanov

757 

Partial localization of limit sets and the asymptotic stability of nonautonomous equations. II L. B. Knyazhishche, N. A. Raptunovich

765 

Unbounded solutions of secondorder linear differential equations with retarded argument D. V. Paatashvili

774 

Reduction of linear finitedifference equations to differential equations R. A. Prokhorova

780 

A pursuit method in linear differential games with integral constraints on the controls A. T. Rakhmanov

785 

The problem of the center and focus for analytic systems with a zero linear part. I A. P. Sadovskii

790 

Solutions of an equation of Emden–Fowler type F. Zh. Sadyrbaev

799 

Properties of solutions of a boundary value problem that arises in combustion theory B. L. Shekhter

805 

Partial Differential Equations


Smoothness of the solution of the Tricomi problem for equations of mixed type A. B. Bazarbekov

816 

A threedimensional analogue of the Cauchy–Riemann system for analytic functions of two complex variables V. E. Balabaev

823 

On the uniqueness of the solution of a problem from the wave theory of mechanical shock S. I. Gaiduk, G. M. Zayats

833 

Boundary value problems for elliptic systems in domains with a piecewisesmooth boundary N. A. Zhura

839 

Smoothness of parabolic Pagni potentials. III. Proof of a theorem on the smoothness of a Pagni parabolic potential of a simple layer L. I. Kamynin

843 

Dual methods for solving boundary value problems for systems of elliptic equations V. F. Koshchy, A. I. Ropavka

861 

An initialboundary value problem for a degenerate parabolic equation with a variable time direction T. P. Rudneva

867 

Integral Equations and IntegralDifferential


On the theory of a class of linear integrodifferential equations È. I. Grudo

876 

The reduction method for the approximate solution of systems of singular integral equations with vanishing symbols on a closed Lyapunov contour V. A. Zolotarevskii

884 

On an approximate solution of a singular integrodifferential equation I. N. Meleshko

888 

A multidimensional dual equation of convolution type and its transposition Yu. I. Cherskii

897 

Short Communications


On the existence of recurrent solutions of a class of differential equations A. Yu. Aleksandrov

902 

Asymptotic behavior of nearly discontinuous solutions of singularly perturbed autonomous systems of ordinary differential equations in a neighborhood of a bifurcation point Ë. À. Bakaleynikov, Yu. A. Polovko

903 

On the structure of attracting compacta S. A. Bogatyi, V. I. Guţu

907 

Application of an integral transformation to the solution of a mixed problem for a nonclassical equation E. A. Gasymov

909 

Exact and approximated formulas for the inversion of a multiple integral with Cauchy kernels M. A. Sheshko, G. A. Rasolko

911 