Nontrivial periodic solutions of a nonautonomous system of second-order differential equations
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We prove theorem, in which basic conditions for the existence of nontrivial periodic solutions are formulated in terms of the properties of the elements of the matrix of a linear approximation to a system.
KeywordsVector Space Periodic Solution Linear Approximation Pedagogical Institute Continuous Solution
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- 1.M. A. Krasnosel'skii,Operator of Shift Along the Trajectories of Differential Equations [in Russian], Nauka, Moscow (1966).Google Scholar