Nonlinear difference equations with asymptotically stable solutions

• Date: 1997
• Main Authors: Slyusarchuk, V. E., Слюсарчук, В. Е.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1997
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5088
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We establish conditions of asymptotic stability for all solutions of the equation X n+1=F(X n ), n≥0, in the Banach space E in the case where r(F′(x))