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 Ordinary Differential Equations Singular perturbations in a linear control problem with a quadratic functionalV. Ya. Glizer, M. G. Dmitriev 1915 The structure and periodicity of the solutions of a certain two-dimensional system of differential equationsP. B. Golokvoschyus 1922 Limit cycles and algebraic integrals in the case of a centerM. V. Dolov 1935 Lacunae in the spectrum of a fourth order differenetial operator with periodic coefficientsV. A. Erovenko 1942 The stability of the rotation number of a doubly periodic differential equationE. K. Ershov 1949 The asymptotic behavior of the solution of the general boundary value problem for singularly perturbed systems of ordinary differential equations of conditionally stable typeV. A. Esipova 1956 Controllability of linear autonomous systems in the presence of constraints on the controlV. I. Korobov, A. P. Marynych, E. N. Podolskii 1967 Fractional powers of degenerate differential operatorsV. P. Orlov 1980 Existence of Ljapunov–Krasovskiǐ functions with homogeneous derivatives, by virtue of the equationL. É. Reiziņš 1990 The Cauchy problem for the equation $Ax'(t)+Bx(t)=f(t)$A. G. Rutkas 1996 The topological structure of a neighborhood of a singular point of a differential equationM. E. Sagalovich 2011 The boundedness of the infinitely continuable solutions of a system of two differential equations with quadratic right hand sidesÈ. S. Shpigelman 2019 Partial Differential Equations Completely integrable equations in variational derivativesV. G. Zadorozhniy 2027 The generalized Neumann–Tricomi problemV. P. Egorov 2040 The solution of certain boundary value problems of the theory of harmonic functionsI. P. Krasnov 2052 Strong and weak extension of differential operatorsS. M. Shugrin 2067 Short Communications Generation of a structurally stable, doubly asymptotic trajectory in a system with a slowly changing variableV. N. Belykh 2083 An existence and uniqueness theorem for the solution of linear differential-difference equations with deviating argumentA. I. Dashevskii 2086 The oscillation on a finite time interval of the projections of the solutions of systems of ordinary differential equationsYu. I. Domshlak 2089 A certain property of the oscillating solutions of nonlinear second order equationsA. G. Katranov 2092 A certain class of third order systems with a single-valued solutionI. A. Konoplyanik 2094 The stochastic stability of the characteristic exponents of the variational equations of smooth dynamical systemsV. M. Millionshchikov 2097 The existence of a solution of a certain nonlinear boundary value problemL. V. Rakin 2100 Solution of the problem of the center and focus for a Liénard system with polynomial coefficientsA. P. Sadovskii 2102 People of Soviet science Ìèõàèë Àëåêñååâè÷ Ëàâðåíòüåâ (ê 75-ëåòèþ ñî äíÿ ðîæäåíèÿ) 2105