On sharp conditions for the global stability of a difference equation satisfying the Yorke condition

• Date: 2008
• Main Authors: Nenya, O. I., Tkachenko, V. I., Trofimchuk, S. I., Неня, О. І., Ткаченко, В. І., Трофімчук, С. І.
• Format: Article
• Language: Ukrainian; English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3138
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Continuing our previous investigations, we give simple sufficient conditions for global stability of the zero solution of the difference equation xn+1 = qxn + fn (xn ,..., xn-k ), n ∈ Z, where nonlinear functions fn satisfy the Yorke condition. For every positive integer k, we rep...