ON SINGULAR IMPULSIVE SYSTEMS USING ISOMORPHISM DECOMPOSITION METHOD
OYELAMI BENJAMIN OYEDIRAN *
Department of Mathematics, Plateau State University, Bokkos, Nigeria.
*Author to whom correspondence should be addressed.
Abstract
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.
Keywords: Impulsive systems, isomorphic decomposition, existence and uniqueness, singular systems