On the approximate controllability of neutral integro-differential inclusions of Sobolev-type with infinite delay
V. Vijayakumar, R. Udhayakumar, K. Kavitha
Abstract
In our manuscript, we organize a group of sufficient conditions of neutral integro-differential inclusions of Sobolev-type with infinite delay via resolvent operators. By applying Bohnenblust-Karlin's fixed point theorem for multivalued maps, we proved our results. Lastly, we present an application to support the validity of the study.
Topics & Concepts
ResolventControllabilitySobolev spaceMathematicsDifferential inclusionType (biology)Fixed pointPure mathematicsDifferential (mechanical device)Fixed-point theoremMathematical analysisApplied mathematicsPhysicsBiologyEcologyThermodynamicsStability and Controllability of Differential EquationsNonlinear Differential Equations AnalysisAdvanced Mathematical Physics Problems