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1. Existence of mild solutions for abstract mixed type semilinear evolution equations

Author

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

Subjects
General Mathematics, Semilinear evolution equation, convex-power condensing operator, fixed point theorem, C0-semigroup, measure of noncompactness
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.

Published
2014

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