一类二阶非线性差分方程多重周期解的存在性(英文)  

Existence of Multiple Periodic Solutions for a Class of Second-order Nonlinear Difference Equations

作　　者：杨丽丽[1] 

机构地区：[1]北京交通职业技术学院,北京102200

出　　处：《科学技术与工程》2010年第1期1-5,共5页Science Technology and Engineering

基　　金：国家自然科学基金(10561004)资助

摘　　要：用Z2群指标理论探讨了一类二阶非线性差分方程多重周期解的存在性,得到了该类差分方程多重周期解存在的充分条件,并给出了详细证明。最后,用一个例子说明了结果的合理性。The Z2-group index theory is used to explored the periodic solutions for a class of second-order nonlinear difference equations.The sufficient conditions responsible for the existence of multiple periodic solutions of this kind of discrete system are obtained.The proofs are presented in detail.Furthermore,an example is given to illustrate the conclusions.

关 键 词：周期解 非线性差分方程 Z2-群指标理论 

分 类 号：O175.7[理学—数学]