TY  - JOUR
ID  - Zhao2011
LB  - Zhao2011
AU  - Zhao, Zhi-Han
AU  - Chang, Yong-Kui
AU  - N'Guérékata, G. M.
TI  - A new composition theorem for S<sup>p</sup>-weighted pseudo almost periodic functions and applications to semilinear differential equations
ST  - A new composition theorem for S<sup>p</sup>-weighted pseudo almost periodic functions and applications to semilinear differential equations
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2011
VL  - 31
IS  - 3
SP  - 457
EP  - 474
DO  - http://dx.doi.org/10.7494/OpMath.2011.31.3.457
UR  - http://dx.doi.org/10.7494/OpMath.2011.31.3.457
AB  - 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.
KW  - \(S^p\)-weighted pseudo almost periodic
KW  - weighted pseudo almost periodicity
KW  - semilinear differential equations
SN  - 1232-9274
ER  -