On the dynamics of a higher order rational difference equations

详细信息    查看全文

• 作者：M.M. El-Dessoky^a ; ^b ; ^{dessokym@mans.edu.eg}
• 关键词：Difference equations ; Stability ; Global stability ; Boundedness ; Periodic solutions
• 刊名：Journal of the Egyptian Mathematical Society
• 出版年：2017
• 出版时间：January 2017
• 年：2017
• 卷：25
• 期：1
• 页码：28-36
• 全文大小：499 K
• 卷排序：25

文摘

The main objective of this paper is to study the global stability of the positive solutions and the periodic character of the difference equationyn+1=ayn+byn−t+cyn−l+dyn−k+eyn−sαyn−k+βyn−s,n=0,1,…,with positive parameters and non-negative initial conditions. Numerical examples to the difference equation are given to explain our results.