Skip to main content
Log in

Structure of a general solution of systems of nonlinear difference equations

  • Published:
Ukrainian Mathematical Journal Aims and scope

Abstract

We investigate the structure of a general solution of systems of nonlinear difference equations with continuous argument in a neighborhood of the state of equilibrium.

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.

Similar content being viewed by others

References

  1. G. D. Birkhoff and W. J. Trjitzinsky, “Analytic theory of singular difference equations,”Acta Math.,60, 1–89 (1932).

    Article  MathSciNet  Google Scholar 

  2. W. A. Harris Jr. and Y. Sibuya, “General solution of nonlinear difference equations,”Trans. Amer. Math. Soc.,115, 62–75 (1965).

    Article  MATH  MathSciNet  Google Scholar 

  3. By. K. Takano, “General solution of a nonlinear difference equation of Briot-Bouquet type,”Funkc. Ekvacioj.,13, No. 3, 179–198 (1971).

    MATH  MathSciNet  Google Scholar 

  4. By. K. Takano, “Solution containing arbitrary periodic functions of systems of nonlinear difference equations,”Funck. Ekvacioj.,13, No. 2, 137–164 (1973).

    Google Scholar 

  5. G. P. Pelyukh, “Structure of continuous solutions of one class of nonlinear difference equations,”Differents. Uravn.,30, No. 6, 1083–1085 (1994).

    MathSciNet  Google Scholar 

  6. G. P. Pelyukh, “Representation of solutions of difference equations with continuous argument,”Differents. Uravn.,32, No. 2, 304–312 (1996).

    MathSciNet  Google Scholar 

Download references

Authors

Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 10, pp. 1368–1378, October, 1999.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pelyukh, G.P. Structure of a general solution of systems of nonlinear difference equations. Ukr Math J 51, 1543–1555 (1999). https://doi.org/10.1007/BF02981687

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02981687

Keywords

Navigation