Skip to main content
SpringerLink
Log in

Averaging of a multipoint problem with parameters for an impulsive oscillation system

  • Brief Communications
  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

By using the averaging method, we prove the solvability of a multipoint problem with parameters for a nonlinear oscillation system with pulse influence at fixed times. We establish estimates for the deviation of solutions of the original and averaged problems.

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

References

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

    Google Scholar 

  2. M. N. Astafeva, “On the problem of justification of the averaging method for multifrequency impulsive oscillation systems,” Ukr. Mat. Zh., 41, No. 8, 1124–1126 (1989).

    MathSciNet  Google Scholar 

  3. A. M. Samoilenko and N. I. Ronto, Numerical-Analytic Methods in the Theory of Boundary-Value Problems for Ordinary Differential Equations [in Russian] Naukova Dumka, Kiev 1992.

    Google Scholar 

  4. A. Yu. Luchka, Projection-Iterative Methods [in Russian] Naukova Dumka, Kiev 1993.

    Google Scholar 

  5. A. M. Samoilenko and Ya. R. Petryshyn, “Boundary-value problems with parameters for a multifrequency oscillation system,” Ukr. Mat. Zh., 49, No. 4, 581–589 (1997).

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Chernovtsy University, Chernovtsy

    Ya. R. Petryshyn

Authors
  1. Ya. R. Petryshyn
    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

Petryshyn, Y.R. Averaging of a multipoint problem with parameters for an impulsive oscillation system. Ukr Math J 52, 483–488 (2000). https://doi.org/10.1007/BF02513143

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02513143

Keywords

Search

Navigation