[1]简伟刚,陈园园.一类非线性差分方程的伪概周期解[J].江西师范大学学报(自然科学版),2017,(06):617-622.
 JIAN Weigang,CHEN Yuanyuan.The Pseudo Almost Periodic Type Solutions to a Class of Nonlinear Difference Equations[J].Journal of Jiangxi Normal University:Natural Science Edition,2017,(06):617-622.
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一类非线性差分方程的伪概周期解()
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《江西师范大学学报》(自然科学版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2017年06期
页码:
617-622
栏目:
出版日期:
2017-12-01

文章信息/Info

Title:
The Pseudo Almost Periodic Type Solutions to a Class of Nonlinear Difference Equations
作者:
简伟刚陈园园
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
Author(s):
JIAN WeigangCHEN Yuanyuan
1.Department of Nature and Science,Yuzhang Normal University,Nanchang Jiangxi 330103,China; 2.Department of Public Education,Nanchang Institute of Technology,Nanchang Jiangxi 330044,China
关键词:
非线性差分方程 伪概周期解 伪概周期序列 正规锥
Keywords:
nonlinear difference equation pseudo almost periodic solution pseudo almost periodic sequence normal cone
分类号:
O 175.7
文献标志码:
A
摘要:
讨论了非线性差分方程x(n)=∑nk=-䥺SymboleB@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+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.
Abstract:
The existence theorem of pseudo almost periodic solutions to difference equationsx(n)=∑nk=- 䥺SymboleB@ α(n,n-k)f(k,x(k))+h(n,x(n)),n∈Zis established,where α:Z×Z+→R+,h:Z×R+→R+and f:Z×R+→R+.In addition,in order to illustrate the four conditions in Theorem 1 that are achievable,two examples is given to point out that the studied equation is a special case of the equation.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期:2017-04-15基金项目:国家自然科学基金(11461034)和江西省教育厅科技计划(GJJ151326)资助项目.作者简介:简伟刚(1985-),男,江西南昌人,讲师,主要从事非线性方程的概周期解方面的研究.E-mail:1017177631@qq.com
更新日期/Last Update: 1900-01-01