Existence of mild solutions for abstract mixed type semilinear evolution equations

Authors : Hong-bo SHI, Wan-tong LI*, Hong-rui SUN

Pages : 457-472

View : 12 | Download : 5

Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :This paper is concerned with the existence of global mild solutions and positive mild solutions to initial value problem for a class of mixed type semilinear evolution equations with noncompact semigroup in Banach spaces. The main method is based on a new fixed point theorem with respect to convex-power condensing operator.
Keywords : Semilinear evolution equation, convex power condensing operator, fixed point theorem, C0 semigroup, measure of noncompactness