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 Ordinary Differential Equations Limit equations in the problem of the stability of a functional-differential equationA. S. Andreev, D. Kh. Khusanov 435 Partition of the parameter space of a quadratic system with a triple focus or a center at the originE. A. Andronova 441 An inverse problem in the theory of differential inclusionsT. Kh. Babalyev, V. N. Ushakov 451 On infinitesimal constructions in the theory of generalized dynamical systems. IIKh. G. Guseinov, V. N. Ushakov 457 Instability of a periodic system with delayYu. F. Dolgii, S. G. Nikolaev 465 On the number of solutions of second-order boundary value problems with nonlinear asymptoticsYu. A. Klokov, F. Zh. Sadyrbaev 471 On a continuous method for solving convex extremal problemsI. P. Ryazantseva, E. A. Duntseva 480 Partial Differential Equations On $\epsilon$-regularization of the Cauchy problem and a half-space problem for a pseudo-parabolic equation in Sobolev classesM. A. Abdrachmanov 486 The quasi-reversibility method for the problem of the control of an initial condition for the heat equation with an integral boundary conditionS. M. Alekseeva, N. J. Yurchuk 495 Two problems for the string vibration equation with integral conditions and special conjugation conditions on the characteristicV. F. Volkodavov, V. E. Zhukov 503 Reinforced Sobolev spaces and some new types of elliptic boundary value problems. IIE. G. D'yakonov 508 A priori estimates and the existence of strong solutions of semilinear parabolic systemsG. G. Laptev 518 Asymptotic integration of a vibration convection problemV. B. Levenshtam 523 On the absence of positive solutions of second-order nonlinear elliptic equations in conical domainsNguyen Manh Hung 533 Hidden symmetry in an averaging algorithm, and the multiple spectrum of an elliptic problem with rapidly oscillating coefficientsA. Yu. Teplinskii 540 On the solvability of boundary value problems for the Helmholtz equation in an unbounded domain with a noncompact boundaryE. V. Chernokozhin, Yu. V. Shestopalov 546 On the behavior as $t\to\infty$ of the solution of the first exterior mixed problem for the Sobolev systemS. I. Yanov 554 Short Communications Nonselfadjoint quadratic operator pencils and elliptic problemsR. Bayramov 559 Construction of first integrals and last multipliers of polynomial autonomous multidimensional differential systemsV. N. Gorbuzov 562 Control of a differential system generated by the Loewner differential equationG. N. Kamyshova 565 On the theory of stability of linear systems of difference equationsA. V. Lasunsky 567 On the Dirichlet problem for nonstrongly elliptic systemsG. Puryushkis 570