Approximate Controllability of Neutral Functional Integro-Differential Equations with State-Dependent Delay and Non-Instantaneous Impulses
Abdelhamid Bensalem, Abdelkrim Salım, Mouffak Benchohra, Mičhal Fĕckan
Abstract
In this manuscript, we investigate the issue of approximate controllability for a certain class of abstract neutral integro-differential equations having non-instantaneous impulsions and being subject to state-dependent delay. Our methodology relies on the utilization of resolvent operators in conjunction with Darbo’s fixed point theorem. To exemplify the practical implications of our findings, we provide an illustration.
Topics & Concepts
ControllabilityResolventClass (philosophy)MathematicsFixed-point theoremState (computer science)Differential equationApplied mathematicsMathematical analysisComputer scienceAlgorithmArtificial intelligenceStability and Controllability of Differential EquationsNumerical methods for differential equationsNonlinear Differential Equations Analysis