Asymptotic integration of singularly perturbed differential algebraic equations with turning points. I

DOI10.1007/s11253-021-01899-xzbMath1472.34110OpenAlexW3176193176WikidataQ115379955 ScholiaQ115379955MaRDI QIDQ2036448

P. F. Samusenko, A. M. Samoilenko

Publication date: 29 June 2021

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-021-01899-x

zbMATH Keywords

singular perturbationasymptotic expansiondifferential-algebraic equationturning point

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Asymptotic expansions of solutions to ordinary differential equations (34E05)

Related Items

On singular points of linear differential-algebraic equations with perturbations in the form of integral operators, Asymptotic solutions of singularly perturbed differential algebraic equations with turning points, Asymptotic integration of singularly perturbed differential algebraic equations with turning points. II

Uses Software

• RODAS

Cites Work

• On the special properties of the boundary layer in singularly perturbed problems with multiple root of the degenerate equation
• Linear turning point theory
• On a singularly perturbed initial value problem in the case of a double root of the degenerate equation
• The central connection problem at turning points of linear differential equations
• The Singularity-Induced Bifurcation and its Kronecker Normal Form
• Solving Ordinary Differential Equations II
• Uniform Asymptotic Formulae for Functions with Transition Points
• The Asymptotic Solutions of Ordinary Linear Differential Equations of the Second Order, With Special Reference to a Turning Point
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