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 Ordinary Differential Equations Some sufficient conditions for the existence of periodic and of bounded solutions of second-order nonlinear differential equationsKh. Abduvaitov 2027 Solution of a certain Cauchy problem connected with the motion of an electron in a plane waveB. A. Volodin, A. M. Khapaev 2036 An estimate of exponential stability of systems with delay by the method of approximating systemsYu. F. Dolgii, S. D. Sazhina 2046 A nonlinear spectral problem that generates a complete systemV. R. Kardashov 2052 The existence of structurally stable global oscillators in a class of sixth-order dynamical systemsS. N. Kirpichnikov, A. G. Stepanov 2057 The minimum number of vector fields forming a control system with given propertiesN. N. Petrov 2063 Differential equations in a neighborhood of a stable invariant manifold in a Banach spaceA. A. Reinfeld 2068 Limit cycles of a two-dimensional autonomous system with quadratic nonlinearitiesA. E. Rudenok 2072 Three-point controllability of stationary Pfaffian systemsO. V. Khramtsov 2082 Approximate controllability of systems of delaying type in a class of positive controlsB. Sh. Shklyar 2087 Partial Differential Equations A nonlinear problem of laser thermochemistry. IIF. V. Bunkin, V. A. Galaktionov, N. A. Kirichenko, S. P. Kurdyumov, A. A. Samarskii 2097 The Dirichlet problem for the Poisson equation in an angular domainV. I. Vlasov, D. B. Volkov 2105 A general problem on the plane diffraction of an electromagnetic wave falling obliquely on a circular disk lying on the interface of two mediaE. A. Ivanov 2114 Asymptotic behavior of the solution of the third exterior mixed problem for the equation $u_t=\eta\Delta u_t+\Delta u$I. V. Suveyka 2124 Numerical methods Convergence of iterative methods for solving implicit difference schemes for a nonlinear equation of heat conductionN. V. Ardelyan 2131 A numerical process of approximation by polynomials of solutions of Volterra integral equations of the second kindP. N. Denisenko 2137 Investigation of the convergence of the solution of a difference scheme with weights to the generalized solution of the vibrating string equation in the class $W_2^2(Q_T)$I. N. Djuraev, M. N. Moskal'kov 2145 Convergence of a family of explicit parametric schemes for Navier–Stokes equationsG. N. Kuraev 2152 A difference scheme for a fourth-order elliptic equation with a small parameter multiplying the derivativesG. I. Shishkin 2159 Short Communications A type of stability of phase systems with nonlinear modulated characteristicZ. U. Blyagoz, G. D. Kretz 2166 A difference scheme on a mesh of characteristic surface elements for the solution of a two-dimensional problem of gas dynamicsP. A. Vakulchik 2168 On extendability of solutions of functional-differential equations with delay depending on the unknown functionS. A. Gusarenko 2171 Classification of formal periodic systemsV. F. Lisyanoi 2173 Finding a limit cycle in a system of differential equations describing a model of a periodic trimolecular chemical reactionYu. V. Malyshev, V. P. Zakharov 2175 Application of tangent transformations to first-order ordinary differential equationsB. Rashayski, L. M. Berkovich 2177 A boundary value problem for the wave equation in a tetrahedral domainA. S. Rudnitskii, A. D. Titov, A. P. Khapalyuk 2181 Integration of systems of differential equations connected with homogeneous spacesS. M. Cherkashina 2184 Completeness of the system of root functions of boundary value problems for elliptic operator-differential equations with operators in the boundary conditionsS. Ya. Yakubov, B. A. Aliev 2187