Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 103, pp. 1-9.
Title: Equi-asymptotically almost periodic functions and applications
to functional integral equations
Authors: Hui-Sheng Ding (Jiangxi Normal Univ., Nanchang, China)
Qing-Long Liu (Jiangxi Normal Univ., Nanchang, China)
Gaston M. N'Guerekata (Morgan State Univ., Baltimore, MD, USA)
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.