In this paper, we prove the existence of mild solutions for a first order impulsive neutral evolution differential inclusion with state-dependent delay. We transform it into an integral equation and use a fixed point theorem for condensing multi-valued maps. As an application of the main theorem, we consider the case when the multi-valued nonlinearity has… (More)
In this paper, we establish a sufficient condition for the controllability of nonau-tonomous integrodifferential inclusions with nonlocal conditions in Banach spaces. The approach used is the Sadovskii's fixed point theorem with the theory of resolvent operators.
In this paper, we shall deal with µ-pseudo almost automorphic solutions to a semi-linear fractional differential equation by a new concept of µ-pseudo almost auto-morphic functions presented recently. First we establish some new properties of µ-pseudo almost automorphic functions, and then apply the obtained results to prove some existence theorems combined… (More)