Turkish Journal of Mathematics
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.
DOI
10.3906/mat-0905-29
Keywords
Semilinear evolution equation; convex-power condensing operator; fixed point theorem; C_0-semigroup; measure of noncompactness
First Page
457
Last Page
472
Recommended Citation
SHI, H, LI, W, & SUN, H (2011). Existence of mild solutions for abstract mixed type semilinear evolution equations. Turkish Journal of Mathematics 35 (3): 457-472. https://doi.org/10.3906/mat-0905-29
