An analysis on the approximate controllability of neutral functional hemivariational inequalities with impulses
S. Vivek, V. Vijayakumar
Abstract
In this paper, we study approximate controllability of neutral hemivariational inequality with impulses. Initially, we derive the mild solution for the given system, for the main results, we use semigroup theory, fixed point theorem of multivalued map, and properties of generalized Clarke's subdifferentials to prove its existence and approximate controllability results. Finally, an example is given to illustrate our theory.
Topics & Concepts
ControllabilityMathematicsSemigroupApplied mathematicsInequalityFixed-point theoremFixed pointMathematical analysisPure mathematicsContact Mechanics and Variational InequalitiesNonlinear Differential Equations AnalysisBrake Systems and Friction Analysis