Pseudo asymptotically periodic integral solution of partial neutral functional differential equations

Zhinan Xia

doi:10.26637/mjm404/002

Abstract

In this paper, we propose a new class of functions called $\mu$-pseudo $\mathcal{S}$-asymptotically periodic function on $\mathbb{R}$ 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:

Partial neutral functional differential equations, Measure theory, Integral solution, $\mu$-pseudo $\mathcal{S}$ -asymptotically periodic function

Mathematics Subject Classification:

34K06, 34D05

Authors Imprint References Funding Related Articles Downloads

Zhinan Xia Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou, Zhejiang, 310023, China.

Pages: 524-533
Date Published: 01-10-2016
Vol. 4 No. 04 (2016): Malaya Journal of Matematik (MJM)

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