On a class of second-order nonlinear difference equation

被引：10
|
作者：
Li Dongsheng [1 ]
Zou Shuliang [1 ]
Liao Maoxin [2 ]
机构：
[1] Univ S China, Sch Econ & Management, Hengyang 421001, Hunan, Peoples R China
[2] Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2011年
关键词：
rational difference equation; trajectory structure rule; semicycle length; periodicity; global asymptotic stability; GLOBAL ASYMPTOTIC STABILITY; FAMILY;
D O I：
10.1186/1687-1847-2011-46
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider the rule of trajectory structure for a kind of second-order rational difference equation. With the change of the initial values, we find the successive lengths of positive and negative semicycles for oscillatory solutions of this equation, and the positive equilibrium point 1 of this equation is proved to be globally asymptotically stable. Mathematics Subject Classification (2000) 39A10.
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页码：1 / 9
页数：9
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