Existence of positive pseudo almost periodic solutions to a class of neutral integral equations |
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Authors: | Hui-Sheng Ding Yuan-Yuan Chen Gaston M N’Guérékata |
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Institution: | aCollege of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi 330022, People’s Republic of China;bDepartment of Mathematics, Morgan State University, 1700 E. Cold Spring Lane, Baltimore, MD 21251, USA |
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Abstract: | 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) 721–739] to a more general class of integral equations. |
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Keywords: | MSC: 45G10 34K14 |
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