Peer-Reviewed Article March 20, 2013
Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions
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Published in: Fixed Point Theory and Applications
Publisher: Springer Nature • Egypt • 1687-1812
Abstract
In this paper, we establish the controllability for a class of abstract impulsive mixed-type functional integro-differential equations with finite delay in a Banach space. Some sufficient conditions for controllability are obtained by using the Mönch fixed point theorem via measures of noncompactness and semigroup theory. Particularly, we do not assume the compactness of the evolution system. An example is given to illustrate the effectiveness of our results. MSC: 93B05, 34A37, 34G20.