On a class of second-order nonlinear difference equation

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成果类型：

期刊论文

作者：

Li Dongsheng*;Zou Shuliang;Liao Maoxin

通讯作者：

Li Dongsheng

作者机构：

[Zou Shuliang; Li Dongsheng] Univ S China, Sch Econ & Management, Hengyang 421001, Hunan, Peoples R China.

[Liao Maoxin] Univ S China, Sch Math & Phys, Hengyang 421001, Hunan, Peoples R China.

通讯机构：

[Li Dongsheng] U

Univ S China, Sch Econ & Management, Hengyang 421001, Hunan, Peoples R China.

语种：

英文

关键词：

Global asymptotic stability;Periodicity;Rational difference equation;Semicycle length;Trajectory structure rule

期刊：

Advances in Difference Equations

ISSN：

1687-1847

年：

2011

卷：

2011

期：

页码：

1-9

DOI：

10.1186/1687-1847-2011-46

基金类别：

The authors would like to thank the referees for giving useful suggestions and comments for the improvement of this paper. This research is supported by Social Science Foundation of Hunan Province of China (Grant no. 2010YBB287), Science and Research Program of Science and Technology Department of Hunan Province (Grant no.2010FJ3163, 2011ZK3066).

机构署名：

本校为第一且通讯机构

院系归属：

数理学院

管理学院

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 asymptoti...

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On a class of second-order nonlinear difference equation

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