2017
Том 69
№ 9

All Issues

On the Existence of Periodic Solutions of Nonlinear Difference Equations

Pelyukh G. P.

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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.

English version (Springer): Ukrainian Mathematical Journal 54 (2002), no. 12, pp 1971-1981.

Citation Example: Pelyukh G. P. On the Existence of Periodic Solutions of Nonlinear Difference Equations // Ukr. Mat. Zh. - 2002. - 54, № 12. - pp. 1626-1633.

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