摘要
基于Krasnoselskiis不动点定理,给出一类具有无穷时滞中立型微分方程存在唯一周期解的一组充分条件并用例子说明主要结果的可行性.该条件无需非线性项f满足Lipschitz条件,使得方程的应用范围更宽.
The existence and uniqueness of periodic solutions of a kind of nonlinear neutral differential equation with infinity delay is shown by using fixed point principle. In particular, the requirement of Lipschitz condition on the nonlinear function f is essentially dropped,which allows the equation to include a variety of nonlinearities. Meanwhile,an examples are given to illustrate the main results.
出处
《广西科学》
CAS
2009年第4期364-367,共4页
Guangxi Sciences
基金
Supported by the Scientific Research Foundation of Guangxi Education Office of China(No.2009)
the Special Scientific Foundation of Yulin Normal University(No.2009YJZD07)
关键词
微分方程
无限时滞
周期解
唯一解
不动点原理
differential equation, infinity delay, periodic solution, unique solution, fixed point principle