The Kneser property for the abstract Cauchy problem
Volume 81 / 2003
Annales Polonici Mathematici 81 (2003), 167-181
MSC: 47D06, 34G20.
DOI: 10.4064/ap81-2-7
Abstract
We establish existence of mild solutions for the semilinear first order functional abstract Cauchy problem and we prove that the set of mild solutions of this problem is connected in the space of continuous functions.