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 Review articles Small-parameter methods and their applicationA. N. Tikhonov 1659 The method of boundary layer functionsA. B. Vasil'eva, V. F. Butuzov 1662 Tikhonov's theorem on passage to the limit and the regularization methodS. A. Lomov 1669 Investigation of invariant toroidal manifolds of dynamical systems, and questions of automation of methods for investigating differential equationsYu. A. Mitropol'skii, V. L. Kulik, A. I. Skrypnyk 1679 Ordinary Differential Equations The theory of singular perturbations and some optimal control problemsM. G. Dmitriev 1693 Asymptotic behavior of the solutions of certain classes of differential equations with a small parameter multiplying the derivatives in the case of a change in the stability of a stationary point in the plane of “rapid motions”S. Karimov 1698 Boundary value problems with initial jumpsK. A. Kasymov 1701 Optimization of the hunting processS. A. Kashchenko 1706 A bifurcation theorem in the theory of self-oscillations of distributed systemsYu. S. Kolesov 1709 The averaging method in control problemsV. A. Plotnikov 1713 Convergence in $L^2$ of solutions of systems with a small matrix multiplying the derivativeV. P. Skripnik 1717 Integral manifolds of singularly perturbed systems and some of their applicationsV. V. Strygin, V. A. Sobolev, E. Ya. Gorelova, È. M. Fridman 1723 Some problems of the theory of singularly perturbed equationsA. N. Filatov 1726 A generalization of Lyapunov's second method and an investigation of the stability of applied problemsM. M. Khapaev 1730 A difference scheme for a fourth-order ordinary differential equation with a small parameter multiplying the highest derivativeG. I. Shishkin 1734 Partial Differential Equations Analytic and computational aspects of a block representation of operators in linear equationsYu. P. Boglaev 1743 A singularly perturbed boundary value problem of elliptic type with nonsmooth angular boundary layer functionsV. F. Butuzov, A. V. Nesterov 1751 Periodic solutions of singularly perturbed equations of parabolic typeA. B. Vasil'eva, V. T. Volkov 1755 Investigation of singularly perturbed boundary value problems by the method of matching asymptotic expansionsA. M. Il'in 1760 Soliton-like asymptotics of internal waves in a stratified fluid with small dispersionV. P. Maslov, G. A. Omel'yanov 1766 Breaking of waves for the Whitham equation with singular kernel. IIP. I. Naumkin, I. A. Shishmarev 1775 The boundary effect and the buckling of thin plates on a nonlinearly elastic baseL. S. Srubshchik 1790 Asymptotic expansions of solutions of a parabolic equation with a small parameterV. G. Sushko 1794 Some singularly perturbed problems of gas dynamics and physical kineticsV. A. Tupchiev 1798 Short Communications Numerical methods for solving singularly perturbed problemsYu. P. Boglaev 1804 The Cauchy problem for a spatially inhomogeneous equation of coagulation taking diffusion into accountA. V. Burobin 1806 Asymptotic solution of a problem on the motion of a rigid body in a magnetic fieldA. I. Kobrin 1808 A new approach to the investigation of linear singularly perturbed problems in the presence of identically multiple and imaginary points of the spectrumYu. A. Konyaev 1811 Singularly perturbed linear differential equations in a Banach spaceS. G. Krein 1814 The Whitham equation with a singular kernel and small interactionP. I. Naumkin, I. A. Shishmarev 1818 Asymptotic solution of a problem of modeling heat and mass exchange in interpenetrating mediaN. N. Nefedov 1819 Construction of asymptotic solutions of singularly perturbed linear systemsI. I. Starun 1822 Asymptotics of solutions of the Cauchy problem for a singularly perturbed systemI. N. Shchitov 1823 Some problems in the theory of partial differential equations containing a small parameter multiplying the highest derivativesM. G. Dzhavadov, M. M. Sabzaliev 1826 Chronicle Êîëëîêâèóì ïî êà÷åñòâåííîé òåîðèè äèôôåðåíöèàëüíûõ óðàâíåíèé (27–31 àâãóñòà 1984 ã., Ñåãåä, Âåíãðèÿ)A. A. Martynyuk, V. V. Rumyantsev 1829