Ordinary Differential Equations
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Some sufficient conditions for the existence of periodic and of bounded solutions of second-order nonlinear differential equations Kh. Abduvaitov
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2027–2036 |
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Solution of a certain Cauchy problem connected with the motion of an electron in a plane wave B. A. Volodin, A. M. Khapaev
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2036–2046 |
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An estimate of exponential stability of systems with delay by the method of approximating systems Yu. F. Dolgii, S. D. Sazhina
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2046–2052 |
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A nonlinear spectral problem that generates a complete system V. R. Kardashov
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2052–2057 |
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The existence of structurally stable global oscillators in a class of sixth-order dynamical systems S. N. Kirpichnikov, A. G. Stepanov
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2057–2063 |
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The minimum number of vector fields forming a control system with given properties N. N. Petrov
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2063–2068 |
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Differential equations in a neighborhood of a stable invariant manifold in a Banach space A. A. Reinfeld
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2068–2071 |
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Limit cycles of a two-dimensional autonomous system with quadratic nonlinearities A. E. Rudenok
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2072–2082 |
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Three-point controllability of stationary Pfaffian systems O. V. Khramtsov
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2082–2086 |
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Approximate controllability of systems of delaying type in a class of positive controls B. Sh. Shklyar
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2087–2096 |
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Partial Differential Equations
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A nonlinear problem of laser thermochemistry. II F. V. Bunkin, V. A. Galaktionov, N. A. Kirichenko, S. P. Kurdyumov, A. A. Samarskii
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2097–2105 |
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The Dirichlet problem for the Poisson equation in an angular domain V. I. Vlasov, D. B. Volkov
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2105–2114 |
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A general problem on the plane diffraction of an electromagnetic wave falling obliquely on a circular disk lying on the interface of two media E. A. Ivanov
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2114–2124 |
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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
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2124–2130 |
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Numerical methods
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Convergence of iterative methods for solving implicit difference schemes for a nonlinear equation of heat conduction N. V. Ardelyan
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2131–2137 |
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A numerical process of approximation by polynomials of solutions of Volterra integral equations of the second kind P. N. Denisenko
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2137–2145 |
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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
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2145–2152 |
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Convergence of a family of explicit parametric schemes for Navier–Stokes equations G. N. Kuraev
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2152–2158 |
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A difference scheme for a fourth-order elliptic equation with a small parameter multiplying the derivatives G. I. Shishkin
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2159–2165 |
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Short Communications
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A type of stability of phase systems with nonlinear modulated characteristic Z. U. Blyagoz, G. D. Kretz
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2166–2167 |
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A difference scheme on a mesh of characteristic surface elements for the solution of a two-dimensional problem of gas dynamics P. A. Vakulchik
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2168–2170 |
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On extendability of solutions of functional-differential equations with delay depending on the unknown function S. A. Gusarenko
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2171–2173 |
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Classification of formal periodic systems V. F. Lisyanoi
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2173–2175 |
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Finding a limit cycle in a system of differential equations describing a model of a periodic trimolecular chemical reaction Yu. V. Malyshev, V. P. Zakharov
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2175–2177 |
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Application of tangent transformations to first-order ordinary differential equations B. Rashayski, L. M. Berkovich
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2177–2181 |
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A boundary value problem for the wave equation in a tetrahedral domain A. S. Rudnitskii, A. D. Titov, A. P. Khapalyuk
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2181–2184 |
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Integration of systems of differential equations connected with homogeneous spaces S. M. Cherkashina
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2184–2187 |
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Completeness of the system of root functions of boundary value problems for elliptic operator-differential equations with operators in the boundary conditions S. Ya. Yakubov, B. A. Aliev
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2187–2188 |