Approximate controllability of nonlinear impulsive systems with nontraditional conditions

In this paper we study the approximate controllability of nonlinear impulsive systems with nontraditional conditions. The controllability results are for nonlinear impulsive systems and not governed by an associated linear systems. It is also shown that the compactness or the existence of the bounded invertible operator is relaxed by using measure of noncompactness. Finally the results obtained can be shown to degrade into special cases and coincide with some existing results.