| In the following we study three different approaches to obtaining existence of a solution to an impulsive differential equation. The first method involves converting a "non-fixed times" problem into a previously studied "fixed times" problem. The second approach is to use both classical existence and extension theory to construct a solution to an impulsive differential equation across the interval (0,T). The last technique that is employed to obtain existence of a solution is the application of fixed point analysis. This involves defining an appropriate Banach space and operator, and then proving both continuity and compactness of this operator. |
