Journals / Turkish Journal of Mathematics / 2011 / Cilt: 35 - Sayı: 3
Existence of mild solutions for abstract mixed type semilinear evolution equations
- Pages
- 457–472
- DOI
- —
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.
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.