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.
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)
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
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
关键词
非线性差分方程
伪概周期解
伪概周期序列
正规锥
nonlinear difference equation
pseudo almost periodic solution
pseudo almost periodic sequence
normal cone
