Skip to main content
SpringerLink
Log in

Reducibility of linear systems of difference equations with almost periodic coefficients

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We establish sufficient conditions of the reducibility of the linear system of difference equationsx(t+1)=Ax(t) + P(t) x(t) with an almost periodic matrixP(t) to a system with a constant matrix.

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. D. I. Martynyuk and N. A. Perestyuk, “On reducibility of linear systems of difference equations with quasiperiodic coefficients,”Vychisl. Prikl. Mat., issue 23, 116–127 (1974).

    Google Scholar 

  2. D. I. Martynyuk and N. A. Perestyuk, “Reducibility of linear systems of difference equations with smooth right-hand side,”Vychisl. Prikl. Mat., Issue 27, 34–40 (1976).

    Google Scholar 

  3. Yu. A. Mitropol'skii, A. M. Samoilenko, and D. I. Martynyuk,Systems of Evolution Equations with Periodic and Conditionally Periodic Coefficients [in Russian], Naukova Dumka, Kiev (1984).

    Google Scholar 

  4. N. N. Bogolyubov, Yu. A. Mitropol'skii, and A. M. Samoilenko,The Method of Accelerated Convergence in Nonlinear Mechanics [in Russian], Naukova Dumka, Kiev (1969).

    Google Scholar 

  5. Yu. A. Mitropol'skii and A. M. Samoilenko, “Construction of solutions of linear differential equations with quasiperiodic coefficients,” in:Mathematical Physics [in Russian], Naukova Dumka, Kiev (1967), pp. 185–198.

    Google Scholar 

  6. Yu. A. Mitropol'skii and A. M. Samoilenko, “Construction of solutions of linear differential equations with quasiperiodic coefficients by the method of accelerated convergence,”Ukr. Mat. Zh.,17, No. 6, 42–59 (1965).

    Google Scholar 

  7. A. M. Samoilenko, “Reducibility of systems of linear differential equations with quasiperiodic coefficients,”Ukr. Mat. Zh.,20, No. 2, 279–281 (1968).

    Google Scholar 

  8. M. G. Filippov, “Reducibility of systems of linear differential equations with almost periodic coefficients,” in:Asymptotic Methods and Applications to Problems of Mathematical Physics [in Russian], Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1990), pp. 132–137.

    Google Scholar 

  9. A. G. Baskakov, “The theorem on reducibility of linear differential equations with quasiperiodic coefficients,”Ukr. Mat. Zh.,35, No. 4, 416–421 (1983).

    Google Scholar 

Download references

Author information

Authors and Affiliations

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

    Yu. A. Mitropol'skii (Academician)

  2. Kiev University, Kiev

    D. I. Martynyuk & V. I. Tynnyi

Authors
  1. Yu. A. Mitropol'skii
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. D. I. Martynyuk
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. V. I. Tynnyi
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 12, pp. 1661–1667, December, 1993.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Mitropol'skii, Y.A., Martynyuk, D.I. & Tynnyi, V.I. Reducibility of linear systems of difference equations with almost periodic coefficients. Ukr Math J 45, 1869–1877 (1993). https://doi.org/10.1007/BF01061357

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01061357

Keywords

Search

Navigation