existence of pseudo almost periodic solutions for a class of partial functional differential equations

existence of pseudo almost periodic solutions for a class of partial functional differential equations

;Hui-Sheng Ding;Wei Long;Gaston M. N'Guerekata"
icsoft 2006 - 1st international conference on software and data technologies, proceedings 2013 Vol. 2013 pp. 1-14
104
ding2013electronicexistence

Abstract

In this paper, we first introduce a new class of pseudo almost periodic type functions and investigate some properties of pseudo almost periodic type functions; and then we discuss the existence of pseudo almost periodic solutions to the class of abstract partial functional differential equations $x'(t)=Ax(t)+f(t,x_t)$ with finite delay in a Banach space X.

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