Md. Maqbul
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
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Md. Maqbul Department of Mathematics and Statistics Indian Institute of Technology Kanpur Kanpur - 208016, India email:maqbul@iitk.ac.in |
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