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On the Existence of Periodic Solutions of Nonlinear Difference Equations

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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.

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Authors and Affiliations

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

    G. P. Pelyukh

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  1. G. P. Pelyukh
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Pelyukh, G.P. On the Existence of Periodic Solutions of Nonlinear Difference Equations. Ukrainian Mathematical Journal 54, 1971–1981 (2002). https://doi.org/10.1023/A:1024021214540

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  • DOI: https://doi.org/10.1023/A:1024021214540

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