Title of article :
Existence of mild solutions for abstract mixed type semilinear evolution equations
Author/Authors :
Shi, Hong-Bo Lanzhou University - School of Mathematics and Statistics, CHINA , Shi, Hong-Bo Huaiyin Normal University - School of Mathematical Science, CHINA , Li, Wan-Tong Lanzhou University - School of Mathematics and Statistics, CHINA , Sun, Hong-Rui Lanzhou University - School of Mathematics and Statistics, CHINA
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.
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
