Controllability of Semilinear Multi-Valued Differential Inclusions with Non-Instantaneous Impulses of Order α ∈ (1,2) without Compactness.

Herein, we investigated the controllability of a semilinear multi-valued differential equation with non-instantaneous impulses of order α ∈ (1 , 2) , where the linear part is a strongly continuous cosine family without compactness. We did not assume any compactness conditions on either the semi-group, the multi-valued function, or the inverse of the controllability operator, which is different from the previous literature. [ABSTRACT FROM AUTHOR]