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Periodic solutions of strongly nonlinear systems with nonclassical right-hand side in the case of a family of generating solutions

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Abstract

The problem of the existence of periodic solutions to differential equations with pulse effects on the surfaces and to differential equations with discontinuous right-hand sides close to arbitrary nonlinear ones is studied. The existence of a family of periodic solutions to generating equations is assumed.

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Authors and Affiliations

  1. Kiev University, USSR

    M. U. Akhmetov

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  1. M. U. Akhmetov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 2, pp. 202–208, February, 1993.

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Akhmetov, M.U. Periodic solutions of strongly nonlinear systems with nonclassical right-hand side in the case of a family of generating solutions. Ukr Math J 45, 215–222 (1993). https://doi.org/10.1007/BF01060976

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  • DOI: https://doi.org/10.1007/BF01060976

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