Asymptotic behavior of positive solutions of fourth-order nonlinear difference equations

• Date: 2008
• Main Authors: Agarwal, P., Manojlović, J. V., Агарвал, Р. П., Манойловіч, Дж В.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2008
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3134
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

We consider a class of fourth-order nonlinear difference equations of the form $$ \Delta^2(p_n(\Delta^2y_n)^{\alpha})+q_n y^{\beta}_{n+3}=0, \quad n\in {\mathbb N} $$ where $\alpha, \beta$ are the ratios of odd positive integers, and $\{p_n\}, \{q_n\}$ are positive real sequences defined for all $n...