Results on approximate controllability of neutral integro‐differential stochastic system with state‐dependent delay
C. Dineshkumar, R. Udhayakumar, V. Vijayakumar, Kottakkaran Sooppy Nisar
Abstract
Abstract This article is mainly focusing on the approximate controllability of neutral integro‐differential stochastic equations with state‐dependent delay. The main results of this article are proved by applying some ideas about the semigroup theory and resolvent operators. At first, the investigation about the existence of a mild solution and then we discuss the approximate controllability of the considered system. Next, we extend our study to the system with non‐local conditions. Finally, a theoretical application is presented for proving the validity of controllability results obtained.
Topics & Concepts
ControllabilityMathematicsResolventSemigroupState (computer science)Applied mathematicsDifferential (mechanical device)Mathematical analysisAlgorithmAerospace engineeringEngineeringNonlinear Differential Equations AnalysisStability and Controllability of Differential EquationsAdvanced Mathematical Modeling in Engineering