利用鞍点定理研究带有阻尼项的二阶系统的周期解  

Periodic Solutions for the Second Order Systems with Damping Term by the Saddle Point Theorem

作　　者：王少敏 杨存基 

机构地区：[1]大理大学数学与计算机学院,云南大理671000

出　　处：《科技通报》2017年第12期50-53,共4页Bulletin of Science and Technology

基　　金：国家自然科学基金项目(11261002);云南省科技厅应用基础项目(2011FZ167)

摘　　要：利用鞍点定理研究带有阻尼项q(t)u?(t)的二阶系统的周期解的存在性。在非线性项F(t,x)=G(x)+H(t,x)满足条件(A)及分别满足一定条件下,获得了一个新的周期解的存在性定理,推广了已有文献的一些结果。The existence of periodic solutions of the second order systems with damping term is studied by the saddle point theorem. When the nonlinear term F(t,x)= G(x)+ H(t,x) satisfies condition(A) and G(x),H(t,x) satisfy many conditions. One new existence theorem of periodic solution is obtained, and the result improves some of the corresponding existing results.

关 键 词：周期解 鞍点定理 二阶系统 

分 类 号：O177.25[理学—数学]