Controllability results for impulsive mixed type functional integro-differential evolution equations with nonlocal conditions

Machado, J. A. Tenreiro; Ravichandran, Chokkalingam; Rivero, Margarita; Trujillo, Juan J.

http://hdl.handle.net/10400.22/3454

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Authors

Machado, J. A. Tenreiro

Ravichandran, Chokkalingam

Rivero, Margarita

Trujillo, Juan J.

Abstract(s)

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.