一类二阶非线性差分方程的多重周期解  

Multiple Periodic Solutions for a Class of Second Order Nonlinear Difference Equations

作　　者：贺铁山[1] 陈文革[2] 

机构地区：[1]仲恺农业工程学院计算科学系,广州510225 [2]华南理工大学数学科学学院,广州510640

出　　处：《工程数学学报》2008年第5期804-810,共7页Chinese Journal of Engineering Mathematics

基　　金：广州市科技计划资助项目(2006j1-C0341);仲恺农业工程学院科研资助项目(G3061710)

摘　　要：本文研究了一类二阶非自治非线性差分方程多重周期解的存在性问题。将这类方程的周期解转化为定义在一个适当空间上泛函的临界点,利用变分原理和Clark定理,得到了此类方程周期解个数的下界估计。The existence of multiple periodic solutions is investigated for a class of second order non-autonomous nonlinear difference equations. By converting periodic solutions of the equation into the critical points of a functional defined on a proper space, the lower bound estimates for the number of periodic solutions are obtained by means of variational principle and Clark’s theorem.

关 键 词：非线性差分方程 周期解 Clark定理 临界点 

分 类 号：O175.7[理学—数学]