ON SINGULAR IMPULSIVE SYSTEMS USING ISOMORPHISM DECOMPOSITION METHOD

In this paper, we consider variable times nonlinear impulsive singular systems. Under certain constraints the existence of the solution to the systems is established using the Krasnoselski fixed point theorem and the result on uniqueness of the solution is also established. By isomorphic decomposition method, we show that the solution of the systems can be pointwisely approximated using a piecewise continuous solution of some nonlinear systems. An example to illustrate the application of the results obtained is also given.