On the Asymptotic Representation of a Regularization Approach to Nonlinear Semiexplicit Higher-Index Differential-Algebraic Equations

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Abstract
Differential-algebraic equations with a higher index can be approximated by regularization algorithms. One such possibility was introduced by März for linear time-varying index 2 systems and extended by the author to index 3 systems. In the present paper, März’s approach is generalized to nonlinear semiexplicit index 2 and 3 equations. The structure of the regularized solutions and their convergence properties are characterized in terms of asymptotic expansions.

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