%0 Journal Article
%T A new composition theorem for $S^p$-weighted pseudo almost periodic functions and applications to semilinear differential equations
%A Zhi-Han Zhao
%A Yong-Kui Chang
%A G.M. N¡¯Gu¨¦r¨¦kata
%J Opuscula Mathematica
%D 2011
%I AGH University of Science and Technology
%X In this paper, we establish a new composition theorem for $S^p$-weighted pseudo almost periodic functions under weaker conditions than the Lipschitz ones currently encountered in the literatures. We apply this new composition theorem along with the Schauder's fixed point theorem to obtain new existence theorems for weighted pseudo almost periodic mild solutions to a semilinear differential equation in a Banach space.
%K $S^p$-weighted pseudo almost periodic
%K weighted pseudo almost periodicity
%K semilinear differential equations
%U http://www.opuscula.agh.edu.pl/vol31/3/art/opuscula_math_3133.pdf