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Periodic solutions of systems of two linear first-order ordinary differential equations with degenerate asymmetric matrix with derivatives

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Abstract

We establish sufficient conditions for the existence of a periodic solution of a system of two linear firstorder ordinary differential equations with degenerate asymmetric matrix with derivatives in the case of an arbitrary periodic inhomogeneity.

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Authors and Affiliations

  1. Ternopol Academy of National Economy, Ternopol

    V. A. Eremenko

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  1. V. A. Eremenko
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 3, pp. 350–356, March, 1998.

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Eremenko, V.A. Periodic solutions of systems of two linear first-order ordinary differential equations with degenerate asymmetric matrix with derivatives. Ukr Math J 50, 400–407 (1998). https://doi.org/10.1007/BF02528805

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  • DOI: https://doi.org/10.1007/BF02528805

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