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.
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References
M. A. Krasnosel'skii,Operator of Shift Along the Trajectories of Differential Equations [in Russian], Nauka, Moscow (1966).
Additional information
Ryazan Pedagogical Institute, Ryazan. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 6, pp. 754–759, June, 1994.
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Terekhin, M.T. Nontrivial periodic solutions of a nonautonomous system of second-order differential equations. Ukr Math J 46, 820–826 (1994). https://doi.org/10.1007/BF02658183
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DOI: https://doi.org/10.1007/BF02658183