Skip to main content
Log in

Bogolyubov theorem for quasidifferential equations with pulses

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We consider the averaging method for pulse quasidifferential equations in metric spaces.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. N. N. Bogolyubov and Yu. A. Mitropol’skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Nauka, Moscow (1974).

    MATH  Google Scholar 

  2. A. M. Samoilenko and N. A. Perestyuk, Pulse Differential Equations [in Russian], Vyshcha Shkola, Kiev (1974).

    Google Scholar 

  3. S. T. Zavalishchin and A. N. Sesekin, Pulse Processes. Models and Applications [in Russian], Nauka, Moscow (1991).

    Google Scholar 

  4. V. Lakshmikantham, D. D. Bainov, and P. S. Simeonov, Theory of Impulsive Differential Equations, World Scientific, Singapore (1990).

    Google Scholar 

  5. D. D. Bainov, S. I. Kostadinov, and Nguyen Van Minh, Dichotomies and Integral Manifolds of Impulsive Differential Equations, Sci. Culture Technol, Publ., Singapore (1994).

    Google Scholar 

  6. V. A. Plotnikov, Averaging Method in Problems of Control [in Russian], Lybid, Kiev (1992).

    Google Scholar 

  7. V. A. Plotnikov and L. I. Plotnikova, “Partial averaging of quasidifferential equations in metric spaces,” Ukr. Mat. Zh., 47, No. 10, 1444–1449 (1995).

    Article  MathSciNet  Google Scholar 

  8. A. I. Panasyuk, “On quasidifferential equations in metric spaces,” Differents. Uravn., 21, No. 8, 1344–1353 (1985).

    MathSciNet  Google Scholar 

  9. V. A. Plotnikov and P. Kitanov, “Continuous dependence of solutions of quasidifferential equations with impulses,” Discrete Math. Appl. Res. Math., 5, 238–245 (1995).

    MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 11, pp. 1504–1511, November, 1997.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Plotnikov, V.A., Kitanov, P.M. Bogolyubov theorem for quasidifferential equations with pulses. Ukr Math J 49, 1688–1696 (1997). https://doi.org/10.1007/BF02487507

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02487507

Keywords

Navigation