2017
Том 69
№ 6

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Nontrivial periodic solutions of a nonautonomous system of second-order differential equations

Terekhin M. T.

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Abstract

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.

English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 6, pp 820-826.

Citation Example: Terekhin M. T. Nontrivial periodic solutions of a nonautonomous system of second-order differential equations // Ukr. Mat. Zh. - 1994. - 46, № 6. - pp. 754–759.

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