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Rotary motions of autonomous systems with pulse influence

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Ukrainian Mathematical Journal Aims and scope

Abstract

We study rotary motions for an autonomous second-order differential equation with pulse influence and periodic right-hand side and indicate some important properties of these motions. By using the numerical-analytic method, we establish sufficient conditions for the existence of rotary motions.

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References

  1. A. M. Samoilenko and N. I. Ronto, Numerical-Analytic Methods for the Study of Periodic Solutions [in Russian], Vyscha Shkola, Kiev (1976).

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  2. A. M. Samoilenko and N. A. Perestyuk, Impulsive Differential Equations, World Scientific, Singapore (1995).

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  3. J. L. Massera, “The existence of periodic solutions of systems of differential equations,” Duke Math. J., 17, 457–477 (1950).

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Authors
  1. N. A. Ali
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  2. S. V. Yanchuk
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal Vol. 49, No. 4, pp. 591–596, April, 1997.

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Ali, N.A., Yanchuk, S.V. Rotary motions of autonomous systems with pulse influence. Ukr Math J 49, 654–660 (1997). https://doi.org/10.1007/BF02487329

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  • DOI: https://doi.org/10.1007/BF02487329

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