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 Ordinary Differential Equations The normal solvability of the problem of the periodic solutions of a linear differential equation with deviating argumentA. B. Antonevich, V. B. Ryvkin 1347 The integration of the Euler equations of the unperturbed motion of a rotating bodyS. 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 pointN. 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, III. T. Kiguradze 1387 A note on the conjugacy of the solutions of higher order differential inequalities and equations with retarded argumentR. G. Koplatadze 1400 The controllability in the small of systems of nonlinear differential equations of optimal regulationYu. S. Mitrokhin 1406 The approximate determination of the period of the periodic solution of a certain strongly nonlinear systemN. P. Morozov 1412 A representation of the solutions of systems of linear functional-differential equations of neutral typeV. M. Polischuk 1423 Asymptotic behavior of the solution of certain problems with singular perturbations for systems of linear ordinary differential equationsA. A. Shishkin 1430 On the problem of the relative controllability of systems with deviating argument of neutral typeB. Sh. Shklyar 1443 Partial Differential Equations The asymptotic solutions of certain systems of partial differential equationsÈ. I. Grudo 1451 Fundamental solutions of parabolic systems with discontinuous coefficients, and their applications to boundary value problems. IM. I. Matiichuk 1463 The global existence of a continuous solution of an initial-boundary value problem for a quasilinear first order equationM. I. Khazan 1478 Integral Equations and Integral-Differential The approximate solution of nonlinear singular integral equations by the Newton–Kantorovič methodV. G. Ivanic'kii 1486 An integrodifferential system of equations of reactor kineticsYu. A. Kuznetsov, S. F. Morozov 1491 A two-point problem for indefinite integral equationsA. A. Levakov 1504 A method of asymptotic integration of a certain class of integrodifferential equations with a small parameter multiplying the highest derivativeS. D. Milusheva, D. D. Bainov 1509 Averaging of a certain special class of integrodifferential equationsL. V. Sharova 1520 Short Communications Elliptic operators that depend nonlinearly on a parameterYu. Sh. Abramov 1525 Problems of the construction of comparison functions in the theory of the stability of motionA. S. Galiullin 1527 Hyperbolic equations with multiple characteristicsZ. O. Mel'nik 1530 A qualitative study of a certain system of three differential equations by means of integral surfacesR. I. Putilova 1533