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 Ordinary Differential Equations A functional-differential inclusion with an operator that has nonconvex imagesA. I. Bulgakov 1659 A method of integral transformations for solving some classes of differential equationsM. I. Klyuchantsev 1668 Estimates for the solutions of a second-order differential equationS. G. Krechetov 1679 Positive solutions of boundary value problems for second-order ordinary differential equations with singularitiesA. G. Lomtatidze 1685 Some methods in perturbation theory connected with averagingK. V. Mal'kov, M. M. Khapaev 1693 A piecewise constant integral for multivalued mappingsM. S. Nikol'skii 1705 Vector boundary value problems generated by a scalar differential operatorE. N. Provotorova 1711 Lamé wave functions in Jacobi form. IM. V. Fedoryuk 1715 Partial Differential Equations Differential boundary value problems for first-order elliptic systems on Riemann surfacesI. A. Bikchantaev 1725 Fourier series expansions in principal functions of an elliptic operatorA. I. Vahabov 1736 The periodic Cauchy problem for an equation of parabolic type in classes of generalized functionsV. V. Gorodestkii 1745 Inequalities of Bessel, Hausdorff–Young–Riesz and Hilbert type in a system of eigen- and associated functions of a second-order elliptic operatorA. E. Evzhanov 1751 Biorthogonal expansions in eigenfunctions. IM. D. Kovalenko 1764 Decrease of the norm of the solution of a mixed problem for a higher-order parabolic equationF. Kh. Mukminov 1772 Darboux problems for hyperbolic equations with degeneration of type and orderL. M. Nevostruev 1780 Averaging of elliptic operators with a high order of nonlinearity in the lower termsA. A. Pankov 1786 Solvability theorems and the Rothe method in inverse problems for an equation of parabolic type. IA. I. Prilepko, V. V. Solov'ev 1791 Short Communications A collocation method for solving singular integral equations on a complex contourV. A. Zolotarevskii 1800 Calculation of the coefficients of Lie series for solving ordinary differential equationsV. P. Igumnov 1802 Radiation principles for a higher-order elliptic equation in a tube domainB. A. Iskenderov, E. Kh. Eivazov, A. N. Èfendieva 1804 Operators with a noninvertible expanding shift in Hölder spacesYu. D. Latushkin, Sh. K. Mamatov 1807 Approximate construction of attainability sets of differential inclusions in Banach spaceA. A. Levakov 1809 A third order equation containing multiple poles with respect to the desired functionV. I. Lyalikova 1811 Completeness of the system of eigenfunctions of the multigroup diffusion approximation of a conditional-critical problem with a homogeneous active zone and an arbitrary reflectorR. S. Makin, S. B. Shikhov 1812 A functional taking extremal values on periodic solutions of a differential equationV. I. Mironenko 1816 Estimate of the Green function of two-point boundary value problem for a linear singularly perturbed systemN. G. Panfilov 1818 Theorems of the Lyapunov functions method for quasiflowsG. N. Petrovskiĭ 1819 On a system connected with generalized analytic functionsL. G. Salekhov 1821 The Cauchy problem for a linear operator equation of Sobolev type with a nonpositive operator multiplying the derivativeG. A. Sviridyuk 1823 Local $C^1$-equivalence of systems of differential equations in a neighborhood of an asymptotically stable complex singular pointS. P. Tokarev 1826 A zonal hydrodynamic model of the general circulation of the atmosphere with conservation of angular momentum with respect to the axis of rotationO. S. Sorokovikova 1828