一类非线性差分方程的伪概周期解  

The Pseudo Almost Periodic Type Solutions to a Class of Nonlinear Difference Equations

作　　者：简伟刚 陈园园 JIAN Weigang;CHEN Yuanyuan(Department of Nature and Science,Yuzhang Normal University,Nanchang Jiangxi 330103,China;Department of Public Education,Nanchang Institute of Technology,Nanchang Jiangxi 330044,China)

机构地区：[1]豫章师范学院自然科学系,江西南昌330103 [2]南昌理工学院公共教学部,江西南昌330044

出　　处：《江西师范大学学报（自然科学版）》2017年第6期617-622,共6页Journal of Jiangxi Normal University(Natural Science Edition)

基　　金：国家自然科学基金(11461034);江西省教育厅科技计划(GJJ151326)资助项目

摘　　要：讨论了非线性差分方程x(n)=n∑k=-∞α(n,n-k)f(k,x(k))+h(n,x(n)),n∈Z的伪概周期解的存在性,其中α:Z×Z^+→R^+,h:Z×R^+→R^+和f:Z×R^+→R^+.通过2个例子说明定理1中的4个条件是可以实现的.xistence theorem of pseudo almost periodic solutions to difference equationsx(n)=∑n k=-∞α(n,n-k)f(k,x(k))+h(n,x(n)),n∈Zis established,whereα:Z×Z+→R+,h:Z×R+→R+and f:Z×R+→R+.In addition,in order to illustrate the four conditions in Theorem1that are achievable,two examples is given to point out that the studied equation is a special case of the equation.

关 键 词：非线性差分方程 伪概周期解 伪概周期序列 正规锥 

分 类 号：O175.7[理学—数学]