Regularizations of Differential‐Algebraic Equations Revisited
Copyright policy )Regularizations of Differential‐Algebraic Equations Revisited
AbstractThe present paper deals with quasilinear differential‐algebraic equations with index 2. These equations are approximated by regularization methods. Such methods lead to singularly perturbed differential‐algebraic equations. Using a geometric theory of singular perturbations convergence of the solutions of the regularized problems towards that of the index 2 problem is proved. The limits of the present theory are discussed and directions of future research are proposed.
- Humboldt-Universität zu Berlin Germany
regularization, quasilinear differential algebraic equations of index 2, singularly perturbed system, Singular perturbations for ordinary differential equations, semiexplicit differential algebraic equation, Implicit ordinary differential equations, differential-algebraic equations
regularization, quasilinear differential algebraic equations of index 2, singularly perturbed system, Singular perturbations for ordinary differential equations, semiexplicit differential algebraic equation, Implicit ordinary differential equations, differential-algebraic equations
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