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 Ordinary Differential Equations Sufficient conditions for the oscillatoriness of the solutions of nonlinear differential equations with deviating argumentYa. V. Bykov, L. Ya. Bykova, E. I. Shevtsov 1555 Certain questions of whether a linear optimal control problem with minimal pulse is well-posed. II. Dependence of the optimal trajectory on the initial state, on the perturbations and on the parametersT. Gichev 1561 Movable singular points of a completely integrable first order total differential equationÈ. I. Grudo 1572 Existence, uniqueness and convergence of successive approximations for differential equations of neutral type with lagM. E. Drakhlin, T. K. Plyshevskaya 1583 A general class of systems of two differential equations that have no solutions with movable essential singularitiesS. G. Kondratenya 1593 Nonselfadjoint abstract differential operators with discrete spectrumA. N. Kochubei 1601 The averaging of the trajectories of slow dynamical systemsS. M. Meerkov 1609 The boundary of the set of controllability of plane holomorphic systemsN. N. Petrov 1618 Representation of the solutions of linear differential-difference equations of neutral typeV. M. Polischuk, A. N. Sharkovskii 1627 Partial Differential Equations Estimates of the fundamental potentials for parabolic equations of higher order. IIE. A. Baderko 1646 Asymptotic behavior of the solution of the equation $\mu^2\Delta u-k^2(x,y)u=f(x,y)$ in a rectangular domainV. F. Butuzov 1654 A certain method for the solution of partial differential equationsV. M. Darevskii 1661 A uniqueness theorem for a certain inverse problem for a system of hyperbolic equations of order $n$S. Elubaev 1673 Diffraction of electromagnetic waves in a cylinder by a sphereV. T. Erofeenko 1683 Solution of a certain boundary value problem of the theory of the diffraction of waves for a region that is bounded by a plane and by the surface of an elliptic cylinderE. A. Ivanov, V. V. Makarova 1693 The smoothness of the eigenfunctions of a compressed plate near the cornersÈ. A. Pais 1700 Normal solvability in the sense of Hausdorff of a certain nonlinear problemV. R. Portnov 1707 Short Communications Certain necessary conditions for the stability in the large of the zero solution of a certain system of $n$ nonlinear differential equations that satisfy generalized Routh–Hurwitz conditionsL. I. Burganskaya 1718 Necessary conditions for the optimality of multidimensional singular controlsS. Ya. Gorokhovik 1721 The Goursat problem over Gevrey spacesK. I. Kol'tsova 1725 The optimal control of a system with free initial and final states in Hilbert spaceM. M. Kopets 1728 Certain boundary value problems and their approximate solutionsV. S. Mokeichev 1730 A study of the set of periodic solutions of a certain system of second order differential equations without dissipationG. L. Yuzbashev 1734