APPROXIMATE CONTROLLABILITY OF IMPULSIVE DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS

In order to describe various real-world problems in physical and engineering sciences that are subject to abrupt changes at certain instants during the evolution process, impulsive differential equations has been used to describe the system model. In this article, the problem of approximate controllability for nonlinear impulsive neutral differential inclusions with nonlocal conditions is studied under the assumption that the corresponding linear control system is approximately controllable. Using a fixed point theorem for condensing multi-valued maps and semigroup theory, sufficient conditions are formulated and proved. Finally, an example is provided to illustrate the results obtained.