Advances in Difference Equations
Volume 2011 (2011), Article ID 414906, 12 pages
doi:10.1155/2011/414906
Research Article

Strong Stability and Asymptotical Almost Periodicity of Volterra Equations in Banach Spaces

Jian-Hua Chen1 and Ti-Jun Xiao2

1School of Mathematical and Computational Science, Hunan University of Science and Technology, Xiangtan, Hunan 411201, China
2School of Mathematical Sciences, Fudan University, Shanghai 200433, China

Received 1 January 2011; Accepted 1 March 2011

Academic Editor: Toka Diagana

Copyright © 2011 Jian-Hua Chen and Ti-Jun Xiao. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study strong stability and asymptotical almost periodicity of solutions to abstract Volterra equations in Banach spaces. Relevant criteria are established, and examples are given to illustrate our results.