- Turkish Journal of Mathematics
- Vol: 35 Issue: 3
- Existence of mild solutions for abstract mixed type semilinear evolution equations
Existence of mild solutions for abstract mixed type semilinear evolution equations
Authors : Hong-bo Shi, Wan-tong Li*, Hong-rui Sun
Pages : 457-472
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Publication Date : 9999-12-31
Article Type : Makaleler
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