Global Analysis of Solutions of a New Class of Rational Difference Equation

• 作者: E. M. Elabbasy O. Moaaz Sh. Alsaeed
• 来源期刊: 美国计算数学期刊(英文)
• 学科: 数学
• 关键词: DIFFERENCE EQUATION STABILITY BOUNDEDNESS Globale STABILITY and PERIODICITY
• 年，卷（期）: mgjssxqkyw_2017,（4）
• 页码范围: 495-503
• 页数: 9页
• 分类号: O1

摘要

The study suggests asymptotic behavior of the solution to a new class of difference equations: . where a, bi, α and β are positive real numbers for i = 0, 1, · · · , k , and the initial conditions ψ-j, ψ-j+1, · · ·, ψ0 are randomly positive real numbers where j = 2k + 1. Accordingly, we consider the stability, boundedness and periodicity of the solutions of this recursive sequence. Indeed, we give some interesting counter examples in order to verify our strong results.