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.