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Ability of the solutions of a system of nonlinear differential equations to oscillate

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Abstract

We prove sufficient conditions and also necessary and sufficient conditions for the proper solutions of the system ui′ = fi (t, u1, u2) (i=1,2) to be able to oscillate.

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Authors and Affiliations

  1. Adygeisk Pedagogical Institute, USSR

    D. D. Mirzov

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  1. D. D. Mirzov
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Translated from Matematicheskie Zametki, Vol. 16, No. 4, pp. 571–576, October, 1974.

In conclusion, the author expresses his thanks to I. T. Kiguradze for valuable hints and to K. S. Mamii for a discussion of the results.

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Mirzov, D.D. Ability of the solutions of a system of nonlinear differential equations to oscillate. Mathematical Notes of the Academy of Sciences of the USSR 16, 932–935 (1974). https://doi.org/10.1007/BF01104258

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  • DOI: https://doi.org/10.1007/BF01104258

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