Study For The Existence Of Solutions Of Semilinear Functional Differential Equations With Nondense Domain

Semilinear functional differential equations arise from the study of models of viscoelas-ticity,electrochemistry,control,porous media,electromagnetic,etc.Therefore,they have received much attention.In this paper,by using fixed point theorems,we study the existence and uniqueness of mild solutions of initial value problems for the following semilinear functional differential equations with nondense domain Dαx(t)=Ax(t)+f(t,xt),0≤t≤T,0<α<1x(t)=φ(t)∈C:=C([-r,0],E) and x’(t):4x(t)+f(t,xt),0≤t≤T, x(t)=φ(t)∈C:=C([-r,0],E) and obtain2new results.