Existence and Approximation Results to the Cauchy Problem for a Class of Differential-Algebraic Equations

Abstract

For a class of differential-algebraic equations arising for example in modelling electrical circuits conditions are derived which ensure the existence of a unique solution of the Cauchy problem on any finite interval and its computation by means of a wave-form relaxation algorithm in case of a large system. The solution concept is understood in the sense of Carathéodory.