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

• Main Authors: Hui-Sheng Ding, Qing-Long Liu, Gaston M. N'Guerekata"
• Format: Article
• Language: English
• Published: Texas State University 2013-04-01
• Series: Electronic Journal of Differential Equations
• Subjects: Asymptotically almost periodic; equi-asymptotically almost periodic; functional integral equation
• Online Access: http://ejde.math.txstate.edu/Volumes/2013/103/abstr.html
• ISSN: 1072-6691

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.