Log in

Almost-periodic solutions of nonlinear impulse systems

  • Published:
Ukrainian Mathematical Journal Aims and scope

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

Access this article

Subscribe and save

Springer+ Basic
EUR 32.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or Ebook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Instant access to the full article PDF.

Literature cited

  1. N. N. Bogolyubov and Yu. A. Mitropol'skii, Asymptotic Methods in the Theory of Nonlinear Oscillations [in Russian], Fizmatgiz, Moscow (1963).

    Google Scholar 

  2. A. M. Samoilenko, N. A. Perestyuk, and M. U. Akhmetov, Almost Periodic Solutions of Differential Equations with Impulse Action [in Russian], Preprint 83.26, Math. Inst., Akad. Nauk Ukr. SSR (1983).

  3. L. Amerio, “Soluzioni quasi periodiche o limate, di sistemi differenziali non lineri quasi-periodici o limitati,” Ann. Math. Pura Appl.,39, 97–119 (1955).

    Google Scholar 

  4. B. M. Levitan and V. V. Zhikov, Almost Periodic Functions and Differential Equations [in Russian], Moscow State Univ. (1978).

  5. A. N. Kolmogorov, “On the Skorokhod convergence,” Teor. Veroyatn. Primen.,1, No. 2, 239–247 (1956).

    Google Scholar 

  6. A. Halanay and D. Wexler, The Qualitative Theory of Systems with Impulse [in Rumanian], Editura Academiei Republicii Socialiste Romania, Bucuresti (1968) [Russian translation, Moscow, Mir (197l)].

    Google Scholar 

  7. S. I. Gurgula and N. A. Perestyuk, “Lyapunov's second method in systems with impulse action,” Dokl. Akad. Nauk Ukr. SSR, Ser. A,10, 11–14 (1982).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 41, No. 3, pp. 291–296, March, 1989.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Akhmetov, M.U., Perestyuk, N.A. Almost-periodic solutions of nonlinear impulse systems. Ukr Math J 41, 259–263 (1989). https://doi.org/10.1007/BF01060307

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01060307

Keywords

Navigation