Singularly perturbed differential/algebraic equations. I: Asymptotic expansion of outer solutions

DOI10.1006/jmaa.1997.5256zbMath0869.34049OpenAlexW2048271304MaRDI QIDQ1353754

Xiaopu Yan

Publication date: 7 September 1997

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.1997.5256

zbMATH Keywords

asymptotic expansionsingularly perturbedDAE

Mathematics Subject Classification ID

Singular perturbations for ordinary differential equations (34E15) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Cites Work

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• A general existence and uniqueness theory for implicit differential- algebraic equations
• Singular perturbations of nonlinear systems of differential equations related to conditional stability
• Singular perturbation methods for ordinary differential equations
• Differential equations having rapidly changing solutions: Analytic methods for weakly nonlinear systems
• Asymptotic behavior of solutions of constrained systems of integral equations
• On the existence and uniqueness of solutions of nonlinear semi-implicit differential-algebraic equations
• Differential-Algebraic Systems as Differential Equations on Manifolds
• On Nonlinear Singularly Perturbed Initial Value Problems
• Differential/Algebraic Equations As Stiff Ordinary Differential Equations
• Properties of solutions of ordinary differential equations with small parameters

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