On the Existence of Periodic Solutions of Nonlinear Difference Equations

• Date: 2002
• Main Authors: Pelyukh, G. P., Пелюх, Г. П.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2002
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/4201
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.