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Periodic solutions of autonomous systems with pulse influence in critical cases

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Abstract

We obtain existence conditions and iterative schemes for constructing periodic solution of weakly nonlinear autonomous systems with pulse influence in critical cases.

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References

  1. A. M. Samoilenko and N. A. Perestyuk,Differential Equations with Pulse Influence [in Russian], Vyshcha Shkola, Kiev (1987).

    Google Scholar 

  2. A. A. Boichuk, N. A. Perestyuk, and A. M. Samoilenko, “Periodic solutions of pulse differential systems in critical cases,”Differents. Uravn.,9, 1516–1521 (1991).

    Google Scholar 

  3. A. A. Boichuk,Constructive Methods for Analysis of Boundary-Value Problems [in Russian], Naukova Dumka, Kiev (1979).

    Google Scholar 

  4. I. G. Malkin,Some Problems in the Theory of Nonlinear Oscillations [in Russian], Gostekhizdat, Moscow (1956).

    Google Scholar 

  5. E. A. Grebennikov and Yu. A. Ryabov,Constructive Methods for Analysis of Nonlinear Systems [in Russian], Nauka, Moscow (1979).

    Google Scholar 

  6. A. A. Boichuk and S. M. Chuiko, “Autonomous weakly nonlinear boundary-value problems,”Differents. Uravn.,10, 1668–1674 (1994).

    Google Scholar 

  7. A. A. Boichuk and S. M. Chuiko,Autonomous Boundary-Value Problems in Critical Cases [in Russian], Part I, Preprint, Institute of Geophysics, Ukrainian Academy of Sciences, Kiev (1991); Part II, Preprint, Institute of Geophysics, Ukrainian Academy of Sciences, Kiev (1992).

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    A. A. Boichuk & E. V. Chuiko

  2. Slavyansk Pedagogical Institute, Slavyansk

    S. M. Chuiko

Authors
  1. A. A. Boichuk
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  2. E. V. Chuiko
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  3. S. M. Chuiko
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 11, pp. 1478–1484, November, 1995.

This work was financially supported by the Ukrainian State Committee on Science and Technology.

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Boichuk, A.A., Chuiko, E.V. & Chuiko, S.M. Periodic solutions of autonomous systems with pulse influence in critical cases. Ukr Math J 47, 1688–1695 (1995). https://doi.org/10.1007/BF01057917

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  • DOI: https://doi.org/10.1007/BF01057917

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