Conditioning and Dichotomy in Differential Algebraic Equations

Abstract

The relationship between the dichotomy of the solution space for a differential algebraic system and the well conditioning of associated boundary value problems is investigated. This work extends results that are known for regular explicit ordinary differential equations and it follows the presentation by de Hoog and Mattheij [SIAM J. Numer. Anal., 24 (1987), pp. 89–105].