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 Ordinary Differential Equations The method of Lyapunov functions for systems with perturbationsO. V. Anashkin, M. M. Khapaev 2027 An approach to the study of exponents of exponential growth of solutions of differential systems with impulse actionL. D. Zamkobaya 2030 Estimates for characteristic Lyapunov exponents of linear systems with exponentially decreasing perturbationsN. A. Izobov 2036 Some sufficient conditions for the upper semistability of Lyapunov exponents of nonhomogeneous linear systems. IIIO. I. Morozov 2049 On the global stability of a nonlinear differential equationB. N. Skachkov 2054 Solvability in the large of the Cauchy problem for systems of nonlinear differential equations with fast and slow variables of a special formV. A. Strizhkov 2057 Stability of stochastic systems of neutral type with small deviations of the argumentD. Ya. Khusainov, A. S. Bychkov 2060 Partial Differential Equations A boundary value problem for a differential inequalityA. Kh. Amirov 2070 An analogue of the Darboux problem for the two-dimensional wave equation. IA. B. Bazarbekov 2075 Solution of a problem of heat propagation in a circular two-layer plate with a heat source that moves along its surfaceD. B. Potyagailo, Ya. P. Romanchuk 2085 On the existence of a solution to the Tricomi problemK. B. Sabitov 2092 On the existence of a solution in the problem of determining the coefficient in a semilinear equation of parabolic typeV. V. Solov'ëv 2101 Local solvability of the Cauchy problem in the space of complex-analytic branching functionsB. Yu. Sternin, V. E. Shatalov 2110 The existence of optimal domains in problems with $B$-symmetric, $B$-positive operatorsV. M. Filippov, A. È. Avakyan 2123 Numerical methods Mathematical modeling of problems of electrophoretic separation of biological mixtures. IIS. V. Ermakov, O. S. Mazhorova, Yu. P. Popov 2129 Difference algorithms for solving a problem of heat convectionS. L. Lapko 2137 Qualitative analysis of difference schemes for a model nonlinear equation with sign-variable viscosityI. B. Palymskiy 2148 Methods for the numerical investigation of the stability of the solution of stationary problemsR. J. Čiegis 2158 Short Communications Linearly ordered periodic solutions of the Riccati equation connected with a third-order linear differential equationM. A. Dobrokhotova 2166 Existence and asymptotics of solutions of an implicit Cauchy problem with a singularityA. E. Zernov 2168 Investigation of the stability of systems that have invariant toroidal manifoldsM. G. Medvedeva 2169 Weighted boundary value problems for strongly degenerate equationsÈ. N. Sabziev 2172 Conditions for the nonoscillation of regular solutions of a differential equation of Emden–Fowler typeCh. A. Skhalyaho 2175 Some cases of the reduction and generalization of the Abel differential equation of the second kindP. G. Todorov, G. A. Krystev 2178 Analogues of the Schwarz formula for the inhomogeneous Cauchy–Riemann systemT. V. Chekmarev 2180 The relaxation character of the interaction of a strongly fertile population with its food base with moderate natural fluctuationsYu. S. Kolesov 2182 Robust stability with respect to nonlinear parametersYu. I. Neimark 2185 On the Abel differential equation of the second kindL. Zh. Palandzhyants 2187 The regularization method in a problem of the optimal control of a nonlinear hyperbolic systemS. Ya. Serovaĭskiĭ 2188 Chronicle Âîðîíåæñêàÿ âåñåííÿÿ ìàòåìàòè÷åñêàÿ øêîëà «Ñîâðåìåííûå ìåòîäû êà÷åñòâåííîé òåîðèè êðàåâûõ çàäà÷»V. A. Il'in, S. A. Lomov, Yu. V. Pokornyi 2191