Ordinary Differential Equations


The normal solvability of the problem of the periodic solutions of a linear differential equation with deviating argument A. B. Antonevich, V. B. Ryvkin

1347 

The integration of the Euler equations of the unperturbed motion of a rotating body S. A. Babushkin

1354 

Tests of the uniqueness of the $O$curve for $N_2$ in $R^n$ N. A. Bodunov

1366 

The hyperbolicity of the neighborhood of a homoclinic point N. N. Vasil'eva

1375 

Attainability of the estimate of the highest exponent in the freezing method in the case $n>2$ Yu. I. Elefteriadi

1379 

Conditions for the conjugacy of the solutions of nonlinear ordinary differential equations. I, II I. T. Kiguradze

1387 

A note on the conjugacy of the solutions of higher order differential inequalities and equations with retarded argument R. G. Koplatadze

1400 

The controllability in the small of systems of nonlinear differential equations of optimal regulation Yu. S. Mitrokhin

1406 

The approximate determination of the period of the periodic solution of a certain strongly nonlinear system N. P. Morozov

1412 

A representation of the solutions of systems of linear functionaldifferential equations of neutral type V. M. Polischuk

1423 

Asymptotic behavior of the solution of certain problems with singular perturbations for systems of linear ordinary differential equations A. A. Shishkin

1430 

On the problem of the relative controllability of systems with deviating argument of neutral type B. Sh. Shklyar

1443 

Partial Differential Equations


The asymptotic solutions of certain systems of partial differential equations È. I. Grudo

1451 

Fundamental solutions of parabolic systems with discontinuous coefficients, and their applications to boundary value problems. I M. I. Matiichuk

1463 

The global existence of a continuous solution of an initialboundary value problem for a quasilinear first order equation M. I. Khazan

1478 

Integral Equations and IntegralDifferential


The approximate solution of nonlinear singular integral equations by the Newton–Kantorovič method V. G. Ivanic'kii

1486 

An integrodifferential system of equations of reactor kinetics Yu. A. Kuznetsov, S. F. Morozov

1491 

A twopoint problem for indefinite integral equations A. A. Levakov

1504 

A method of asymptotic integration of a certain class of integrodifferential equations with a small parameter multiplying the highest derivative S. D. Milusheva, D. D. Bainov

1509 

Averaging of a certain special class of integrodifferential equations L. V. Sharova

1520 

Short Communications


Elliptic operators that depend nonlinearly on a parameter Yu. Sh. Abramov

1525 

Problems of the construction of comparison functions in the theory of the stability of motion A. S. Galiullin

1527 

Hyperbolic equations with multiple characteristics Z. O. Mel'nik

1530 

A qualitative study of a certain system of three differential equations by means of integral surfaces R. I. Putilova

1533 