摘要
利用三角级数理论及压缩映射原理研究了时滞Duffing型方程ax″(t)+bx(t)+g(x(t-τ))=p(t),给出了此类Duffing型方程存在唯一周期解的几个充分条件.
In this paper, with the theory of trigonometrical series and contraction mapping principle ,some sufficient conditions for the existence and uniqueness of periodic solution to Duffing equation ax″(t)+bx(t)+g(x(t-τ))=p(t) are obtained.
出处
《纯粹数学与应用数学》
CSCD
北大核心
2005年第2期99-102,共4页
Pure and Applied Mathematics
基金
国家科技部973项目基金资助(1999064911).
关键词
DUFFING型方程
周期解
三角级数
压缩映射原理
Duffing equation, periodic solution, trigonometrical series theory, contraction mapping principle