Electron. J. Diff. Equ., Vol. 2011 (2011), No. 72, pp. 1-9.

Almost periodic solutions of neutral functional differential equations with Stepanov-almost periodic terms

Md. Maqbul

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

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Md. Maqbul
Department of Mathematics and Statistics
Indian Institute of Technology Kanpur
Kanpur - 208016, India

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