Results on Weighted Stepanov-like Pseudo Periodic Functions and Applications
Authors :
Shan Zheng
Author Address :
Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China.
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, L p norm, differential equation with delay.
DOI :
Article Info :
Received : February 22, 2016; Accepted : March 01, 2016.
