Existence of mild solutions for abstract mixed type semilinear evolution equations

Authors

HONG-BO SHI
WAN-TONG LI
HONG-RUI SUN

DOI

10.3906/mat-0905-29

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; C_0-semigroup; measure of noncompactness

First Page

457

Last Page

472

Recommended Citation

SHI, HONG-BO; LI, WAN-TONG; and SUN, HONG-RUI (2011) "Existence of mild solutions for abstract mixed type semilinear evolution equations," Turkish Journal of Mathematics: Vol. 35: No. 3, Article 9. https://doi.org/10.3906/mat-0905-29
Available at: https://journals.tubitak.gov.tr/math/vol35/iss3/9