Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulsions: Existence and Qualitative Results
Abdelhamid Bensalem, Abdelkrim Salım, Mouffak Benchohra, Gaston M. N‘Guérékata
Abstract
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 and state-dependent delay problems. Our criteria were obtained by applying a Darbo’s fixed-point theorem combined with measures of noncompactness. The obtained result is illustrated by an example at the end.
Topics & Concepts
ControllabilityMathematicsResolventFixed-point theoremInterval (graph theory)Fixed pointMathematical analysisState (computer science)Applied mathematicsControl theory (sociology)Computer scienceAlgorithmCombinatoricsControl (management)Artificial intelligenceStability and Controllability of Differential EquationsNonlinear Differential Equations AnalysisNumerical methods for differential equations