Electron. J. Diff. Equ., Vol. 2013 (2013), No. 103, pp. 1-9.

Equi-asymptotically almost periodic functions and applications to functional integral equations

Hui-Sheng Ding, Qing-Long Liu, Gaston M. N'Guerekata

Abstract:
In this article, we introduce the notion of equi-asymptotically almost periodicity, and investigate some properties of equi-asymptotically almost periodic functions. In addition, by applying the results on equi-asymptotically almost periodic functions, we obtain an existence theorem for asymptotically almost periodic solutions to a class of functional integral equation.

Submitted February 6, 2013. Published April 24, 2013.
Math Subject Classifications: 34K14, 45G10.
Key Words: Asymptotically almost periodic; equi-asymptotically almost periodic; functional integral equation.

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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
Qing-Long Liu
College of Mathematics and Information Science
Jiangxi Normal University
Nanchang, Jiangxi 330022, China
email: 758155543@qq.com
Gaston M. N'Guérékata
Department of Mathematics, Morgan State University
1700 E. Cold Spring Lane
Baltimore, MD 21251, USA
email: nguerekata@aol.com, Gaston.N'Guerekata@morgan.edu

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