高阶非线性差分方程的全局吸引性  

Global attractivity of a higher order nonlinear difference equation

作　　者：唐国梅[1] 

机构地区：[1]西北民族大学数学与计算机科学学院,甘肃兰州730030

出　　处：《纯粹数学与应用数学》2010年第5期816-821,共6页Pure and Applied Mathematics

摘　　要：研究了一类高阶非线性差分方程所有正解的周期性,不变区间及全局吸引性.证明了方程的正平衡点是在一个依赖于参数的盆里的全局吸引子.In this paper, we investigate the periodic character, invariant intervals and the global attractivity of all positive solutions of a higher order nonlinear difference equation. We show that the positive equilibrium of the equation is a global attractor with a basin that depends on certain conditions posed on the coefficients.

关 键 词：差分方程 不变区间 素二周期解 全局吸引子 

分 类 号：O175[理学—数学]