摘要
基于概周期函数的性质和不动点原理,研究n维强迫Duffing系统x"-Ax-△U(t,x)=H(t)和x"-Ax-△U(t,x)=G(t,x)的概周期解,分别得到了系统存在唯一概周期解的一组充分条件.
Based the property of almost periodicity and the principle of fixed, the almost periodic solution of n-dimentional Duffing equation with forced oscillation as followed x＂-Ax-△U（t,x）=H（t） and x＂-Ax-△U（t,x）=G（t,x） is investigated. Some sufficient conditions for the existence and uniqueness of the almost periodic solution are obtained.
出处
《玉林师范学院学报》
2007年第3期19-21,共3页
Journal of Yulin Normal University
关键词
n维Duffing方程
概周期解
存在唯一性
n-dimentional Duffing equation
almost periodic solution
existence and uniqueness
