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Existence of quasiper iodic solutions of systems of second order differential equations

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Literature cited

  1. N. N. Bogolyubov, “Quasiperiodic solutions in problems of nonlinear mechanics,” in: Proceedings of the First Summer Mathematics School [in Russian], Vol. 1, Naukova Dumka, Kiev (1964).

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  2. N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Vibrations [in Russian], 3rd Edition, Fizmatgiz, Moscow (1963).

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  3. N. N. Bogolyubov, Yu. A. Mitropol'skii, and A. M. Samoilenko, The Method of Accelerated Convergence in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1969).

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Authors and Affiliations

  1. Institute of Mathematics, Academy of Sciences of the Ukrainian SSR, Ukraine

    V. T. Yatsyuk

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  1. V. T. Yatsyuk
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 24, No. 5, pp. 675–682, September–October, 1972.

The author thanks Yu. A. Mitropol'skii and the referee for their help.

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Yatsyuk, V.T. Existence of quasiper iodic solutions of systems of second order differential equations. Ukr Math J 24, 545–550 (1972). https://doi.org/10.1007/BF01090538

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  • DOI: https://doi.org/10.1007/BF01090538

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