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 Ordinary Differential Equations A generalized Bohr–Neugebauer theoremR. Boles Basit, L. Tsend 1343 The construction of a set of systems of differential equations that have prescribed curves as their limit cyclesT. F. Bulatskaya 1349 Inverse problems of the dynamics of a heavy solid body with one fixed pointA. S. Galiullin 1357 A certain formulation of linear pursuit problemsP. B. Gusyatnikov 1363 The stability of the solutions of differential-recurrence equations. II. Stability under linear approximationY. P. Dimitrov 1372 Uniqueness of the solution of boundary value problems for systems of two first order differential equationsYu. A. Klokov 1377 Certain problems of the optimal control of the intensity of random perturbationsV. B. Kolmanovskii 1386 The solutions of differential equations with singular initial conditionsS. G. Kondratenya, E. G. Prolisko, T. I. Shved 1396 On the theory of Painlevé's sixth equationN. A. Lukashevich 1404 On the question of algebraic movable singularitiesA. M. Markina, A. I. Yablonskii 1409 Simultaneous accessibility of the central exponents of two-dimensional linear systemsÒ. Å. Nuzhdova 1416 A model example of the pursuit game problem with incomplete information. IIV. S. Patsko 1423 Conditions for the center for certain equations of the form $yy'=P(x)+Q(x)y+R(x)y^2$L. A. Cherkas 1435 Partial Differential Equations The behavior of the solutions of a quasi-linear parabolic equation in divergence form as $t\rightarrow \infty$Yu. P. Gor'kov 1440 Existence and uniqueness of the generalized solution of a certain nonlinear problem in an infinite domainV. R. Portnov 1447 Weighted spaces. The imbedding theoremV. N. Sedov 1452 Exponential decrease at infinity of certain solutions of elliptic equationsG. N. Finozhenok 1463 Integral-Differential and Integral Equations Conditions for the complete continuity of integral operators with fixed singularities in the space of continuous functionsV. G. Ogandzhanyan 1473 The construction of $s$-adjoints to integro-differential operatorsI. V. Parkhimovich 1486 Short Communications The source function of the Laplace operator for a domain that is bounded by a hyperboloid of rotationA. M. Glyuzman, F. K. Minikeeva 1494 Necessary optimality conditions for systems that are not solved with respect to the derivativeM. L. Gusakova 1498 The connection between the Bellman function and matrix impulsesA. I. Kalinin 1501 Existence and uniqueness of the periodic solution of a relay system with hysteresisA. M. Kamachkin 1505 The identifiability of linear nonstationary systemsT. B. Kopeikina 1507 Certain special transformations of matrix differential equations of Riccati typeV. N. Laptinskii, V. V. Pugin 1511 Systems of differential equations with selective switchingT. È. Mozhdzher 1515 A remark on the theory of integral equationsA. G. Ramm 1517 The Cauchy problem for a certain class of differential equationsN. A. Sidorov 1521