摘要
通过使用临界点理论中的极大极小的方法研究了具有线性位势的非自治的二阶Hamilton系统,并获得了两个周期解的存在定理。
In the paper,the non-autonomous second order systems with linear potentials are studied by the minimax methods in critical point theory and existence theorems of periodic solutions are obtained.
出处
《河北理工大学学报(自然科学版)》
CAS
2009年第1期83-86,共4页
Journal of Hebei Polytechnic University:Social Science Edition
关键词
周期解
临界点
鞍点定理
二阶非自治系统
periodic solutions
critical point
the Saddle Point Theorem
non-autonomous second-order system