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 Ordinary Differential Equations Sufficient conditions for the stability of stochastic systems with aftereffectR. I. Kadiev 555 On the structure of a neighborhood of weakly attracting compact setsB. S. Kalitin 565 Phase portrait of a set of special solutions of autonomous functional-differential equationsA. D. Myshkis 575 On the existence of a smooth invariant foliation in Lorenz-type mappingsM. V. Shashkov, L. P. Shilnikov 586 Partial Differential Equations Solvability “in the large” of a class of quasilinear systems of equations of composite type with nonsmooth dataA. A. Amosov, A. A. Zlotnik 596 Uniform well-posedness of a family of nonlinear boundary value problems of infinite orderG. S. Balashova, Yu. A. Dubinskii 610 An approximation of solutions of “ground state” type of the equations $-\Delta u=g(u)$ in $\mathbf R^{N+1}$Ya. Sh. Il'yasov 621 On boundary value problems with an even number of solutionsV. S. Klimov 630 Existence theorems for solutions of nonlinear elliptic problems in $\mathbf R^N$ in the class of block-radial functionsI. A. Kuzin 637 A mathematical model of the generation of modulated waves in a gas-saturated porous mediumA. M. Maksimov, E. V. Radkevich, I. Ya. Èdel'man 647 Positive solutions of the Emden–Fowler equation in a coneNguyễn Minh Trí 659 Passage to the limit with respect to viscosity in an equation with a variable direction of parabolicityP. I. Plotnikov 665 On a nonlinear elliptic problem of H. AmannS. I. Pokhozhaev 675 A generalization of the A. Vanderbauwhede variational principleV. M. Filippov 692 Rate of convergence in the closure of a chain of moment equations that correspond to the Navier–Stokes system with a random right-hand sideA. V. Fursikov, O. Yu. Imanuvilov 699 Uniqueness of the global quasiclassical solution of the Cauchy problem for first-order nonlinear partial differential equationsTran Duc Van, Nguyễn Duy Thai Sean 712 Short Communications On the existence of asymptotically recurrent motions of dynamical systemsA. Yu. Aleksandrov 720 Generalized solvability of loaded wave equationM. T. Dzhenaliev (Jenaliyev) 723 Analytic continuation of solutions of ordinary differential equationsYu. A. Dubinskii 725 Asymptotic equivalence under perturbations of diagonal systemsS. A. Mazanik 728 Partial differential equations with an operator of finite index at the principal partN. A. Sidorov, O. A. Romanova, E. B. Blagodatskaya 729