In this paper we study the existence of almost periodic solutions of an autonomous neutral functional differential equation with Stepanov-almost periodic terms in a Banach space. We use the contraction mapping principle to show the existence and the uniqueness of an almost periodic solution of the equation.
Submitted May 4, 2011. Published May 31, 2011.
Math Subject Classifications: 43A60, 34C27, 34K14, 47D06.
Key Words: Stepanov-almost periodic; almost periodic; C_0-semigroup, neutral differential equation; contraction mapping principle
Show me the PDF file (201 KB), TEX file, and other files for this article.
| Md. Maqbul |
Department of Mathematics and Statistics
Indian Institute of Technology Kanpur
Kanpur - 208016, India
Return to the EJDE web page