Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulsions: Existence and Qualitative Results

This paper addresses some existence, attractivity and controllability results for semilinear integrodifferential equations having non-instantaneous impulsions on an infinite interval via resolvent operators in case of neutral state-dependent delay problems. Our criteria were obtained by applying a Darbo’s fixed-point theorem combined with measures noncompactness. The result is illustrated example at the end.