Existence of positive pseudo almost periodic solutions to a class of neutral integral equations

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• 作者：Hui-Sheng Ding^a ;   ; ^{dinghs@mail.ustc.edu.cn} ; Yuan-Yuan Chen^a ;   ; ^{792425475@qq.com} ; Gaston M. N’ ; Gué ; ré ; kata^b ;   ; ^{Gaston.N'Guerekata@morgan.edu} ;   ; ^{gnguerek@jewel.morgan}
• 关键词：Pseudo almost periodic ; Neutral integral equation ; Positive solution
• 刊名：Nonlinear Analysis
• 出版年：2011
• 出版时间：December 2011
• 年：2011
• 卷：74
• 期：18
• 页码：7356-7364
• 全文大小：237 K

文摘

In this work, a new fixed point theorem in partially ordered Banach spaces is established, and then used to prove the existence of positive pseudo almost periodic solutions to a class of neutral integral equations. Our existence theorem extends some recent results due to [E. Ait Dads, P. Cieutat, L. Lhachimi, Positive pseudo almost periodic solutions for some nonlinear infinite delay integral equations, Mathematical and Computer Modelling 49 (2009) 721?39] to a more general class of integral equations.