摘要
应用Leray-Schauder不动点定理,结合运用Liapunov函数,研究了一类三阶非线性微分方程概周期解的存在性,得到了保证方程存在概周期解的一组充分条件。
By using the Leray-Schauder fixed point theorem and the method of Liapunov function, the existence of almost periodic solutions of the third order nonlinear differential equation is investigated and a sufficient condition is obtained.
出处
《广西师范大学学报(自然科学版)》
CAS
1993年第1期27-31,共5页
Journal of Guangxi Normal University:Natural Science Edition
关键词
非线性方程
概周期解
存在性
nonlinear differential equation
Liapunov function
Leray-Schauder fixed point theorem
almost periodic solution
existence