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

  • K. Schneider

    Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany

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.

Cite this article

K. Schneider, Existence and Approximation Results to the Cauchy Problem for a Class of Differential-Algebraic Equations. Z. Anal. Anwend. 10 (1991), no. 3, pp. 375–384

DOI 10.4171/ZAA/458