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Averaging method for investigating systems subjected to an impulsive action

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Literature cited

  1. A. M. Samoilenko, Application of the Averaging Method for Investigation of Oscillations Generated by Transient Impulses in Auto-Oscillations in Systems of Second Order with a Small Parameter, Ukrainsk. Matem. Zh., 13, No. 3 (1961).

  2. A. M. Samoilenko, Investigation of Differential Equations with an'Irregular' Right-Hand Side, III, Konferenz über nichtlineare Schwingungen, Akademie Verlag, Berlin (1965).

    Google Scholar 

  3. N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations, Fizmatgiz, Moscow (1958).

    Google Scholar 

  4. A. M. Samoilenko, On the Case of the Continuous Variation of Solutions of the Differential Equations on a Parameter, Ukrainsk. Matem. Zh.,11, No. 3 (1962).

  5. N. M. Krylov and N. N. Bogolyubov, Introduction to Nonlinear Mechanics. Izd-vo Akad. Nauk UkrSSR, Kiev (1937).

    Google Scholar 

  6. A. A. Andronov, A. A. Vitt, and S. E. Khaikin, Theory of Oscillations [in Russian], Fizmatgiz, Moscow (1959).

    Google Scholar 

  7. N. N. Bautin, Theory of Point Transformations and the Dynamical Theory of Clocks, Proc. International Symposium on Nonlinear Oscillations [in Russian], Izd-vo Akad. Nauk UkrSSR, Kiev (1963).

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  8. A. M. Samoilenko, Numerical-Analytic Methods in the Investigation of Periodic Systems of Differential Equations, I, Ukrainsk. Matem. Zh.,17, No. 4 (1965).

  9. A. M. Samoilenko, Numerical-Analytic Methods in the Investigation of Periodic Systems of Differential Equations, II, Ukrainsk. Matem. Zh.,18 (1966).

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol.19, No. 5, pp. 96–104, September–October, 1967.

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Samoilenko, A.M. Averaging method for investigating systems subjected to an impulsive action. Ukr Math J 19, 586–593 (1967). https://doi.org/10.1007/BF01085298

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