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Positive almost automorphic solutions for a class of non-linear delay integral equations
Authors:Hui-Sheng Ding  Jin Liang
Affiliation:1. College of Mathematics and Information Science , Jiangxi Normal University , Nanchang, Jiangxi 330022, People's Republic of China;2. Department of Mathematics , Shanghai Jiao Tong University , Shanghai, People's Republic of China
Abstract:This article is concerned with a class of non-linear delay integral equations, which unify some extensively studied delay integral equations. We establish a new existence and uniqueness theorem about positive almost automorphic solutions of the delay integral equations. Our theorem can deal with some cases to which many known results are not applicable. Two examples are given to illustrate our results.
Keywords:almost automorphic  delay integral equation  fixed point  positive solution
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