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Ukrainian Mathematical Journal

, Volume 54, Issue 12, pp 1971–1981 | Cite as

On the Existence of Periodic Solutions of Nonlinear Difference Equations

  • G. P. Pelyukh
Article

Abstract

We obtain new sufficient conditions for the existence and uniqueness of an N-periodic solution (N is a positive integer) of a nonlinear difference equation with continuous argument of the form x(t + 1) = f(x(t)) and investigate the properties of this solution.

Keywords

Positive Integer Periodic Solution Difference Equation Continuous Argument Nonlinear Difference Equation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Plenum Publishing Corporation 2002

Authors and Affiliations

  • G. P. Pelyukh
    • 1
  1. 1.Institute of MathematicsUkrainian Academy of SciencesKiev

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