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 Ordinary Differential Equations Classification of limit cyclesV. V. Amel'kin 1291 On the Aǐzerman problem for a second-order systemA. N. Belyaeva, I. G. Egorov 1297 On solutions of the fourth Painlevé equation and its applicationsV. I. Gromak, V. V. Tsegel'nik 1303 On the method of Lyapunov functionals for systems with aftereffectYu. F. Dolgii, A. V. Kim 1313 On the weak observability property for the one-dimensional wave equation with a point nonstationary observation operatorE. K. Kostousova 1318 On the stability in the large of a second-order autonomous systemG. S. Krechetov 1325 Stability of $\Pi$-systemsA. A. Levakov 1334 A sufficient condition for optimality for convex differential inclusions with distributed parameters, and dualityE. N. Makhmudov 1344 On the structure of the bifurcation set of bifurcating separatricesV. S. Medvedev, E. L. Fedorov 1357 Derivatives of multivalued mappings and the maximum principle for differential inclusionsL. I. Minchenko 1363 On the theory of the optimal control and filtering of linear stochastic systems of functional-differential equationsS. A. Minyuk 1370 Partial Differential Equations Application of the contour integral method to the solution of a problem on transverse vibrations of a viscoelastic membrane caused by an impactS. I. Gaiduk 1377 Fundamental solutions of $B$-hypo-elliptic equationsI. A. Kipriyanov, A. A. Kulikov 1387 On the well-posedness of a one-dimensional single-phase hyperbolic Stefan problemM. I. Letavin 1395 The Huygens principle for a class of hyperbolic equations with variable coefficientsA. O. Oganesyan 1402 Solution of a problem on heating a two-layer plate by a local heat sourceD. B. Potyagailo, Ya. P. Romanchuk 1409 Solution of the first boundary value spectral problem for a system of the static theory of elasticity with a complex parameterT. M. Rasulov 1417 Integral equations with a positive-definite bounded selfadjoint operator for boundary value problems in plane elasticityV. I. Tarakanov 1427 Eigenfunctions of a quasilinear elliptic operator in $\mathbf R^n$E. A. Sheina 1436 Short Communications Nonlinear periodic systems with a linear Poincaré mappingT. I. Ananich 1443 Construction of Riemann–Hadamard functions for a degenerate equationV. F. Volkodavov, O. K. Bystrova 1444 The unconditional basis property for systems of root functions of the one-dimensional singular Schrödinger operatorL. V. Kritskov 1446 The Cauchy problem for third-order hyperbolic operator-differential equationsV. I. Korzyuk, N. J. Yurchuk 1448 Asymptotic behavior of the solution of differential equations with integer powers of the small parameter multiplying the derivativesR. P. Kuzmina 1451 Moving singular points of systems of differential equations that describe genetic modelsG. E. Pushkevich, A. I. Yablonskii 1453 Chronicle Î ñåìèíàðå ïî êà÷åñòâåííîé òåîðèè äèôôåðåíöèàëüíûõ óðàâíåíèé â Ìîñêîâñêîì óíèâåðñèòåòå 1457