一类两个质子系统的周期运动  

The Periodic Motion of a Class of Coupled Systems of Two Particals

作　　者：孟凡淇[1] 黄娟娟[1] 

机构地区：[1]盐城师范学院数学科学学院,江苏盐城224001

出　　处：《怀化学院学报》2013年第11期16-19,共4页Journal of Huaihua University

基　　金：江苏省高校自然科学基金资助项目(No:09KJD110005);盐城师范学院科研基金资助项目(No.09YCKL006)

摘　　要：研究一类两个质子耦合的二维系统的周期解存在性条件问题.运用拓扑度的方法,在某种次线性条件下,证明了周期解存在的充分必要条件.In this paper, we consider problem of the existence of periodic solutions for a system of second order ordinary differential equations that model the motion of two particals on the real line. And we obtain the the necessary and sufficient conditions for the existence of periodic solutions under some sublinear condition for the restoring force.

关 键 词：耦合格点系统 次线性 周期解 先验界 BROUWER度 

分 类 号：O175.14[理学—数学]