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arXiv · 2501.02936

Asymptotic solutions of the boundary value problems for the singularly perturbed differential algebraic equations with a turning point

P. Samusenko
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Abstract

This paper deals with the boundary value problems for the singularly perturbed differential-algebraic system of equations. The case of turning points has been studied. The sufficient conditions for existence and uniqueness of the solution of the boundary value problems for DAEs have been found. The technique of constructing the asymptotic solutions has been developed

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P. Samusenko. 2025-01-06. Asymptotic solutions of the boundary value problems for the singularly perturbed differential algebraic equations with a turning point. https://arxiv.org/abs/2501.02936

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