Global stability and boundedness in xn+1=cxn+f(xn-xn-1)

被引：10

作者：

Kent, CM ^{[1
]}

Sedaghat, H ^{[1
]}

机构：

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

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2004年 / 10卷 / 13-15期

关键词：

second-order difference equation; non-linear; global asymptotic stability; semicycle; variation of constants; boundedness;

D O I：

10.1080/10236190410001652829

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For the equation in the title, we present conditions on the function f that are sufficient for the boundedness of all solutions, conditions that imply oscillation of all solutions and also conditions that imply the global asymptotic stability of the unique fixed point. In the latter case, we also specify conditions under which convergence to the equilibrium is monotonic.

引用

页码：1215 / 1227

页数：13

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