Results on weighted stepanov-like pseudo periodic functions and applications

Shan Zheng

doi:10.26637/mjm402/008

Abstract

In this article, we first established some new results on composition of weighted Stepanov-like pseudo periodic function of class $r$ under a uniform continuity condition with respect to $L^p$ norm. And then, we proved the existence and uniqueness of weighted pseudo periodic solutions to a semi-linear functional differential equation with finite delay under Stepanov-like nonlinear term.

Keywords:

Weighted Stepanov-like pseudo periodic function of class r, differential equation with delay, $L^p$ norm

Mathematics Subject Classification:

34G20

Authors Imprint References Funding Related Articles Downloads

Shan Zheng Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China.

Pages: 243-254
Date Published: 01-04-2016
Vol. 4 No. 02 (2016): Malaya Journal of Matematik (MJM)

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