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Periodic solutions of a system with impulsive action at nonfixed times

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Ukrainian Mathematical Journal Aims and scope

We establish conditions for the existence of periodic solutions of a system with impulsive action at nonfixed times.

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References

  1. N. M. Krylov and N. N. Bogolyubov, Introduction to Nonlinear Mechanics [in Russian], Akad. Nauk Ukr. SSR, Kiev (1937).

    Google Scholar 

  2. A. M. Samoilenko, “Averaging method for investigating systems subjected to an impulsive action,” Ukr. Mat. Zh., 19, No. 5, 96–104 (1967); English translation: Ukr. Math. J., 19, No. 5, 586–593 (1967).

    Google Scholar 

  3. A. M. Samoilenko, “Averaging method in systems with pushes,” Mat. Fiz., Issue 9, 63–96 (1971).

    Google Scholar 

  4. A. M. Samoilenko and N. A. Perestyuk, “On the averaging method in systems with impulsive action,” Ukr. Mat. Zh., 26, No. 5, 411–418 (1974).

    Google Scholar 

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

    Google Scholar 

  6. N. A. Perestyuk, V. A. Plotnikov, A. M. Samoilenko, and N. V. Skripnik, Impulsive Differential Equations with Set-Valued and Discontinuous Right-Hand Sides [in Russian], Institute of Mathematics, Ukrainian National Academy of Sciences, Kiev (2007).

  7. N. N. Bogolyubov and Yu. A. Mitropol’skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1963).

    Google Scholar 

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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 4, pp. 486–493, April, 2013.

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Ivashchuk, O.V. Periodic solutions of a system with impulsive action at nonfixed times. Ukr Math J 65, 531–540 (2013). https://doi.org/10.1007/s11253-013-0793-7

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  • DOI: https://doi.org/10.1007/s11253-013-0793-7

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