Jing-Yun Zhao, Hui-Sheng Ding, Gaston M. N'Guerekata
Abstract:
In this article, we establish a new fixed point theorem for nonlinear
operators with superlinear perturbations in partially ordered Banach spaces,
Then we use the fixed point theorem to prove the existence of positive
almost periodic solutions to some integral equations with superlinear
perturbations. Also, a concrete example is given to illustrate our results.
Submitted June 7, 2016. Published January 4, 2017.
Math Subject Classifications: 45G10, 34K14.
Key Words: Almost periodic; delay integral equation; positive solution;
superlinear perturbation.
Show me the PDF file (222 KB), TEX file for this article.
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Jing-Yun Zhao College of Mathematics and Information Science Jiangxi Normal University Nanchang, Jiangxi 330022, china email: 1475551804@qq.com |
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Hui-Sheng Ding College of Mathematics and Information Science Jiangxi Normal University Nanchang, Jiangxi 330022, china email: dinghs@mail.ustc.edu.cn |
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Gaston M. N'Guérékata Department of Mathematics Morgan State University 1700 E. Cold Spring Lane Baltimore, MD 21251, USA email: Gaston.N'Guerekata@morgan.edu, nguerekata@aol.com |
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