On the Existence of Periodic Solutions of Nonlinear Difference Equations

• Datum: 2002
• Hauptverfasser: Pelyukh, G. P., Пелюх, Г. П.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2002
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/4201
• Назва журналу: 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.