Skip to main content
Log in

Boundary-value problems for systems of difference equations

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

Abstract

Boundary-value problems for systems of difference equations with discrete argument whose linear part is the Noetherian operator are considered. The necessary and sufficient conditions of the solvability of difference boundary-value problems of this sort are obtained.

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. O. Gel’fond, Calculus of Finite Differences [in Russian], Nauka, Moscow (1967).

    Google Scholar 

  2. D. I. Martynyuk, Lectures on the Qualitative Theory of Difference Equations [in Russian], Naukova Dumka, Kiev (1972).

    Google Scholar 

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

    Google Scholar 

  4. A. A. Samarskii and Yu. N. Karamzin, Difference Equations [in Russian], Nauka, Moscow (1978).

    Google Scholar 

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

    Google Scholar 

  6. 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 

  7. A. A. Boichuk, V. F. Zhuravlev, and A. M. Samoilenko, Generalized Inverse Operators and Noetherian Boundary-Value Problems [in Russian], Institute of Mathematics, Ukranian Academy of Sciences, Kiev (1995).

    Google Scholar 

Download references

Authors

Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 49, No. 6, pp. 832–835, June, 1997.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Boichuk, A.A. Boundary-value problems for systems of difference equations. Ukr Math J 49, 930–934 (1997). https://doi.org/10.1007/BF02513433

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02513433

Keywords

Navigation