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 Ordinary Differential Equations Spectral analysis of linear differential operators, and semigroups of difference operators. IA. G. Baskakov 1299 An estimate for the number of compact leaves of foliations defined by differential equationsV. N. Gorbuzov 1307 Oscillatory properties of solutions of systems of second-order differential equations with deviating argumentsR. G. Koplatadze, N. L. Partsvaniya 1312 A lower bound for the Fourier images in the system of fundamental functions of the one-dimensional Schrödinger operator with a summable potentialL. V. Kritskov 1321 An iterative method for solving systems of quasidifferential equations with slow and fast variablesT. A. Mel'nik 1329 On the dependence of the controllability set on the target pointA. Ya. Narmanov 1334 Application of quasidifferential equations to the description of discontinuous processesA. I. Panasyuk, J. Bentsman 1339 Sufficient conditions for the stability of linear systems with constant coefficients in critical casesA. I. Perov 1349 On the positive invertibility of some boundary value problems for a fourth-order equationYu. V. Pokorny, R. Mustafokulov 1358 Resurgent equations and quasiclassical asymptoticsB. Sternin, V. Shatalov 1366 Partial Differential Equations On estimates for the solution of a model conjugation problem in the theory of problems with a free boundaryB. V. Bazalii 1374 On the best extension of a periodic function and on the corresponding boundary value problemYu. A. Dubinskii 1382 Second-order hyperbolic differential equations with discontinuous operator coefficientsF. E. Lomovtsev 1394 On the weak maximum principle for an elliptic equation on a two-dimensional cellular complexO. M. Penkin 1404 The Cauchy problem for a class of higher-order linear equations of Sobolev typeG. A. Sviridyuk, O. V. Vakarina 1410 On the invertibility of linear partial differential equations in some function spaces on $\mathbf R^n$V. M. Tyurin 1419 Short Communications Systems of differential equations with two turn pointsV. N. Bobochko 1426 Generalization of the Hörmander inequality and the uniqueness of the solution of the Cauchy problem for linear partial differential equations with multiple characteristicsYu. K. Gerasimov 1429 On the stability of complex systems with respect to nonlinear approximationA. A. Kosov 1432 A second-degree polynomial Dulac function for a cubic system on the planeL. A. Cherkas, A. A. Grin' 1435