Electron. J. Diff. Eqns., Vol. 2008(2008), No. 57, pp. 1-8.

Positive almost automorphic solutions for some nonlinear delay integral equations

Wei Long, Hui-Sheng Ding

Abstract:
This paper is concerned with some nonlinear delay integral equations arising in an epidemic problem. We establish a new existence and uniqueness theorem about positive almost automorphic solutions for delay integral equations. Our theorem is a generalizations of some known results. An example is given to illustrate our results.

Submitted March 31, 2008. Published April 17, 2008.
Math Subject Classifications: 43A60, 34K14, 45G10.
Key Words: Almost automorphic; delay integral equation; fixed point; positive solution.

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Wei Long
College of Mathematics and Information Science
Jiangxi Normal University
Nanchang, Jiangxi 330022, China
email: hopelw@126.com
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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