Skip to main content
Log in

On periodic solutions of nonlinear difference equations in the critical case

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

Abstract

We establish conditions for the existence and uniqueness of a periodic solution of one nonlinear difference equation.

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.

References

  1. A. Halanay and D. Wexler, Qualitative Theory of Impulsive Systems [Russian translation], Mir, Moscow (1971).

    Google Scholar 

  2. Ya. V. Bykov and V. G. Linenko, On Some Problems of the Qualitative Theory of Systems of Difference Equations [in Russian], Him, Frunze (1968).

    Google Scholar 

  3. Yu. A. Mitropol’skii, A. M. Samoilenko, and D. I. Martynyuk, Systems of Evolution Equations with Periodic and Quasiperiodic Coefficients [in Russian], Naukova Dumka, Kiev (1985).

    Google Scholar 

  4. A. N. Sharkovskii, Yu. L. Maistrenko, and E. Yu. Romanenko, Difference Equations and Their Applications [in Russian], Naukova Dumka, Kiev (1986).

    Google Scholar 

  5. G. P. Pelyukh, “On the existence of periodic solutions of discrete difference equations and their properties,” Ukr. Mat. Zh., 46, No. 10, 1382–1387 (1994).

    Article  MATH  MathSciNet  Google Scholar 

  6. G. P. Pelyukh, “On periodic solutions of difference equations with continuous argument,” Ukr. Mat. Zh., 48, No. 1, 140–145 (1996).

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 50, No. 2, pp. 304–308, February, 1998.

This work was financially supported by the Foundation for Fundamental Research of the Ukrainian Committee for Science and Technology.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pelyukh, G.P. On periodic solutions of nonlinear difference equations in the critical case. Ukr Math J 50, 349–354 (1998). https://doi.org/10.1007/BF02513457

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02513457

Keywords

Navigation