Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 72, pp. 1-9.

Title: Almost periodic solutions of neutral functional differential
       equations with Stepanov-almost periodic terms
       
Author: Md. Maqbul (Indian Institute of Technology Kanpur, India)

Abstract:
 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