Convergence of solutions in a nonhyperbolic case

被引：58

作者：

Kent, CM ^{[1
]}

机构：

[1] Virginia Commonwealth Univ, Dept Math Sci, Richmond, VA 23284 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 07期

关键词：

difference equation; period-two solutions; equilibrium;

D O I：

10.1016/S0362-546X(01)00578-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a family of second-order difference equations of the form x(n+1) = f(x(n),x(n-1)), n = 0,1,..., for which (x) over bar = 0 is the unique nonnegative equilibrium and all positive solutions converge to period-two solutions. We find sufficient conditions for the existence of positive solutions which converge to zero and for the existence of positive solutions which converge to prime, period-two solutions.

引用

页码：4651 / 4665

页数：15