Dergiler / Turkish Journal of Mathematics / 2011 / Cilt: 35 - Sayı: 3

Existence of mild solutions for abstract mixed type semilinear evolution equations

Sayfa
457–472
DOI
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Özet

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.

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.

Anahtar kelimeler: Semilinear evolution equation; convex-power condensing operator; fixed point theorem; C0-semigroup; measure of noncompactness