摘要
中立型时滞差分方程的振动性在理论和应用中有着重要意义.研究了一类具有正负系数的二阶非线性中立型时滞差分方程,利用Banach空间的不动点原理,得到了这类方程存在有界的最终正解的充分条件,推广了现有文献中的结论,同时给出例子验证其有效性.
The oscillation of neutral delay difference equations has important implications in both theory and application.Positive solutions for a class of the second order nonlinear neutral delay difference equations with positive and negative coefficients are studied in this paper.By using the fixed point theorem in Banach space,the sufficient conditions for the existence of eventually positive solutions are obtained.These results extend some existing results in the literature.The examples are presented to illustrate the effects of our theorems.
出处
《四川师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2010年第5期605-608,共4页
Journal of Sichuan Normal University（Natural Science）
基金
湖南省教育厅科研重点基金(09A082)和湖南省教育厅科研基金(07C680)资助项目
关键词
正负系数
非线性
中立型时滞差分方程
不动点原理
最终正解
positive and negative coefficients
nonlinear
neutral delay difference equation
fixed point theorem
eventually positive solution
