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 Ordinary Differential Equations The support principle in optimal control problemsV. G. Boltyanskii 1363 Affine invariants of a system with quadratic nonlinearitiesÈ. F. Gasinskaya, K. S. Sibirskii 1371 Certain questions of whether a linear optimal control problem with minimal pulse is well-posed. I. Dependence of the optimal control on the initial state and on the parametersT. Gichev 1383 Asymptotic solutions of second order linear homogeneous differential equations in a Banach space with a small parameter multiplying the highest derivativeL. A. Groza 1393 Investigation of a discrete relay system by the method of point transformations of the switching domains. IIV. A. Gustomesov 1403 Linear equations with integral separation that are everywhere dense in the set of all linear differential equations of order $n$Kamal Ahmed Dib 1417 Conditions for a priori boundedness of the solutions of boundary value problems for third order equationsYu. A. Klokov, L. N. Pospelov 1425 The cycles of the equation $y'=Q_2(x,y)/P_2(x,y)$L. A. Cherkas 1432 Partial Differential Equations Estimates of the fundamental potentials for parabolic equations of higher order. IE. A. Baderko 1438 The axially symmetric Dirichlet problem of the static theory of elasticity in displacements for a domain that is bounded by a cylindrical and a spherical surfaceV. T. Erofeenko 1452 The branching of the solutions of differential equations with a degeneracyN. A. Sidorov 1464 The approximation of the solutions of boundary value problems in unbounded domainsL. Shimon 1482 Integral-Differential and Integral Equations On the approximate solution of singular integrodifferential equations. I. Linear equationsI. V. Boykov, I. I. Zhechev 1493 Regularization of ill-posed convolution type equations by means of generalized summation of integralsO. A. Liskovets 1503 Set-valued mappings in the theory of integral equations with a discontinuous operatorL. N. Lyapin 1511 Short Communications Bifurcations of the separatrices and limit cycles of a two-dimensional dynamical system under a rotation of the fieldN. N. Butenina 1520 Sufficient conditions for the oscillatoriness of the solutions of nonlinear finite difference equationsYa. V. Bykov, L. V. Zhivoglyadova, E. I. Shevtsov 1523 On the optimization of motionsV. I. Zubov 1525 Sufficient conditions for stability and instability in the sense of V. I. Zubov of invariant manifolds of differential systemsI. G. Krosko 1527 Partial stability in the first approximationA. V. Lutsenko, L. V. Stadnikova 1530 Meromorphic solutions of linear differential equations with meromorphic coefficientsV. D. Mokhon'ko 1534 A fixed point method in certain boundary value problems for ordinary differential equations with discontinuous right hand sideR. K. Ragimkhanov 1537 A proof of the presence of an infinite number of limit cycles for the equation $\ddot y+\mu sin$ $(\dot y+\theta )+y=0$G. S. Rychkov 1540 People of Soviet science Rafaèl' Aramovič Aleksandrjan (on the occasion of his fiftieth birthday)S. N. Mergelyan, I. M. Gel'fand, O. A. Oleinik 1543