Skip to main content
SpringerLink
Log in

On the Existence of Periodic Solutions of a System of Two Differential Equations with Pulse Influence

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We investigate the problem of the existence of periodic solutions of a system of two linear differential equations with pulse influence on a plane in the case where a stable knot or a stable focus is a singular point of this system.

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], Naukova Dumka, Kiev (1987).

    Google Scholar 

  2. I. T. Artem'ev and D. D. Ivlev, “Theory of ideal plastic anisotropy,” Prikl. Mekh., 29, No. 1, 73–78 (1993).

    Google Scholar 

  3. V. K. Gorbunov and G. U. Nurakhanova, “Processes with controlled discontinuities of phase trajectories and modeling of production with transfer of capital assets,” Izv. Akad. Nauk SSSR, Ser. Tekhn. Kibern., No. 6, 55–61 (1975).

  4. A. M. Petrovskii, “Systems analysis of certain medical and biological problems related to medical-treatment control,” Avtomat. Telemekh., No. 2, 54–62 (1974).

  5. A. D. Myshkis, “Heat conduction with self-regulating pulse support,” Avtomat. Telemekh., No. 2, 35–43 (1995).

  6. V. G. Samoilenko and K. K. Elgondyev, “On periodic solutions of linear differential equations with pulse influence,” Ukr. Mat. Zh., 49, No. 1, 141–148 (1997).

    Google Scholar 

  7. N. A. Perestyuk, V. G. Samoilenko, and K. K. Elgondyev, “Successor mapping and periodic solutions of a systems of linear differential equations with pulse influence,” Nelin. Kolyvannya, No. 1, 44–50 (1998).

  8. N. A. Perestyuk and A. B. Tkach, “Periodic solutions of a weakly nonlinear system of partial differential equations with pulse influence,” Ukr. Mat. Zh., 49, No. 4, 601–605 (1997).

    Google Scholar 

  9. A. M. Samoilenko, V. G. Samoilenko, and V. V. Sobchuk, “On periodic solutions of the equation of a nonlinear oscillator with pulse influence,” Ukr. Mat. Zh., 51, No. 6, 827–834 (1999).

    Google Scholar 

  10. A. I. Kostrikin and Yu. I. Manin, Linear Algebra and Geometry [in Russian], Moscow University, Moscow (1980).

    Google Scholar 

  11. G. M. Fikhtengol'ts, A Course of Differential and Integral Calculus [in Russian], Vol. 1, Nauka, Moscow (1970).

    Google Scholar 

  12. M. Ya. Vygodskii, Handbook of Higher Mathematics [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  13. V. V. Stepanov, A Course of Differential Equations [in Russian], Fizmatgiz, Moscow (1958).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Rivne Technical University, Rivne

    M. V. Moroz

Authors
  1. M. V. Moroz
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Moroz, M.V. On the Existence of Periodic Solutions of a System of Two Differential Equations with Pulse Influence. Ukrainian Mathematical Journal 54, 160–165 (2002). https://doi.org/10.1023/A:1019757922975

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1019757922975

Keywords

Search

Navigation