Skip to main content
SpringerLink
Log in

On periodic solutions of the equation of a nonlinear oscillator with pulse influence

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We study periodic solutions and the behavior of phase trajectories of the differential equation of a nonlinear oscillator with pulse influence at unfixed moments of time.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

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

    Google Scholar 

  2. D. W. Jordan and P. Smith,Nonlinear Ordinary Differential Equations, Oxford University Press, London (1987).

    MATH  Google Scholar 

  3. R. Reissig, G. Sansone, and R. Conti,Qualitative Theorie Nichtlinearer Differentialgleichungen, Edizioni Cremonese, Roma (1963).

    Google Scholar 

  4. B. P. Demidovich,Lectures on the Mathematical Theory of Stability [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  5. N. A. Perestyuk, V. G. Samoilenko, and K. K. Elgondiev, “Poincaré map and periodic solutions of systems of differential equations with pulse influence,”Nelin. Kolyv., No 1, 44–50 (1998).

    MathSciNet  Google Scholar 

  6. H. Poincaré,On Curves Defined by Differential Equations [Russian translation], Gostekhizdat, Moscow-Leningrad (1947).

    Google Scholar 

  7. A. N. Sharkovskii, S. F. Kolyada, A. G. Sivak, and V. V. Fedorenko,Dynamics of One-Dimensional Maps [in Russian], Naukova Dumka, Kiev (1989).

    Google Scholar 

Download references

Author information

Authors and Affiliations

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

    A. M. Samoilenko

  2. Kiev University, Kiev

    V. G. Samoilenko & V. V. Sobchuk

Authors
  1. A. M. Samoilenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. G. Samoilenko
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. V. Sobchuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 6, pp. 827–834, June, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Samoilenko, A.M., Samoilenko, V.G. & Sobchuk, V.V. On periodic solutions of the equation of a nonlinear oscillator with pulse influence. Ukr Math J 51, 926–933 (1999). https://doi.org/10.1007/BF02591979

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02591979

Keywords

Search

Navigation