Pseudo Asymptotically Periodic Integral Solution of Partial Neutral Functional Differential Equations
Authors :
Zhinan Xia
Author Address :
Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, Zhejiang, 310023, China.
Abstract :
In this paper, we propose a new class of functions called $\mu$-pseudo $\mathcal{S}$-asymptotically periodic function on $\R$ by the measure theory. Furthermore, the existence, uniqueness of
$\mu$-pseudo $\mathcal{S}$-asymptotically periodic integral solution to partial neutral functional differential equations with finite delay are investigated. Here we assume that the undelayed part is
not necessarily densely defined and satisfies the Hille-Yosida condition.
Keywords :
$\mu$-pseudo $\mathcal{S}$-asymptotically periodic function, Partial neutral functional differential equations, Measure theory, Integral solution.
DOI :
Article Info :
Received : July 31, 2014; Accepted : September 27, 2016.
