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《Journal of Jiangxi Normal University(Natural Science Edition)》 2017-06
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The Pseudo Almost Periodic Type Solutions to a Class of Nonlinear Difference Equations

JIAN Weigang;CHEN Yuanyuan;Department of Nature and Science,Yuzhang Normal University;Department of Public Education,Nanchang Institute of Technology;  
The existence 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 ∈ Z is 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.
【Fund】: 国家自然科学基金(11461034);; 江西省教育厅科技计划(GJJ151326)资助项目
【CateGory Index】: O175.7
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