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 Ordinary Differential Equations The controllability of linear functional-differential systemsS. Yu. Kultyshev 1355 Local uniqueness and existence of the solution of boundary value problemsA. Ya. Lepin, V. D. Ponomarev 1361 The topological equivalence of differential equationsG. S. Osipenko 1366 The topological equivalence of structurally stable three-dimensional systems without periodic trajectoriesS. Yu. Pilyugin 1375 A certain method of investigating the periodic solutions of systems with a small parameter multiplying the derivativesV. I. Rozhkov 1388 The completeness in the space of analytic functions of a system of functions that is generated by the solutions of an $n$th order differential equationV. V. Ryndina 1396 Occurrence of invariant sets in the neighborhood of the equilibrium positionA. M. Samoilenko, I. V. Polesya 1409 Poisson stability in dispersive dynamical systemsK. S. Sibirskii, N. K. Cheban 1416 The power asymptotic behavior of a nonautonomous homogeneous and quasihomogeneous systemA. A. Shestakov 1427 Partial Differential Equations The mutual imbedding of a weighted closure of the compactly supported functions and a weighted Sobolev space of functions with zero values on the boundary of the domainJ. V. Rybalov 1437 The uniqueness of the solution of the Cauchy problem with data on a segment of the time axis for a degenerate parabolic equationS. P. Shishatskii 1453 Finite difference equations The oscillation of the solutions of nonlinear difference equationsYa. V. Bykov, G. D. Merzljakova, E. I. Shevtsov 1460 An investigation of the neighborhood of an invariant toroidal manifold of a system of difference equationsD. I. Martynyuk 1474 The support principle in discrete processesH. Sh. Pham 1485 Short Communications The measure of nonregularity of quasitriangular systemsA. Azamov 1497 A certain generalization of N. N. Krasovskiǐ's condition for the controllability of nonstationary systemsV. T. Borukhov 1501 Autooscillations and stability of a second order piecewise linear system with lagYu. Ya. Dusavitsky 1503 Singularity of an orbit that contains a singular pointI. P. Karklin' 1506 A certain class of third order systems without movable critical pointsI. A. Konoplyanik 1508 A connection between controllability and stability in control problemsV. I. Korobov 1512 Integration in geschlossener Form und asymptotisches Verhalten von Lösungen linearer gewöhnlicher Differentialgleichungen vierter OrdnungE. S. Kostenko 1516 The use of group invariance in branching theoryB. V. Loginov, V. A. Trenogin 1518 The solvability of the Reissner equations of a circular plane membrane for a certain case of the loadV. V. Mel'nik 1522 Admissibility of certain function spaces and dichotomy of the solutions for equations with constant coefficientsV. M. Tyurin 1526