四川师范大学学报（自然科学版）2012，Vol.35Issue(1)：68-72,5.DOI:10.3969/j.issn.1001-8395.2012.01.015
二阶非线性差分方程xn+1=F(xn,xn-1)的正解收敛性
The Convergence of Positive Solutions for the Nonlinear Difference Equations of Second Order xn +1 =f(xn,xn- 1 )
摘要
Abstract
In this paper, we study the convergence of positive solutions of nonlinear difference equationxn+1=f(xn,xn-1), n =0,1,2,… ,with initial valuas x-1,x0∈(0,+∞) By changing the condition of the equation, it is proved that every nonoscillatory positive solution converges to equilibrium solution x, every oscillatory positive solution converges to a period-two solution or every oscillatory positive solution are unbounded.关键词
差分方程/平衡点/二周期解/收敛性/终于单调Key words
difference equation/ equilibrium point/ period-two solution/ convergence/ eventually monotonic分类
数理科学引用本文复制引用
全卫贞,王志华..二阶非线性差分方程xn+1=F(xn,xn-1)的正解收敛性[J].四川师范大学学报（自然科学版）,2012,35(1):68-72,5.基金项目
广东省自然科学基金(07301595)资助项目 （07301595）
