A Uniformly‐Valid Asymptotic Solution to a Matrix System of Ordinary Differential Equations and a Proof of its Validity

DOI10.1002/sapm1995944393zbMath0838.34072OpenAlexW2208377428MaRDI QIDQ4857059

Stephen L. Woodruff

Publication date: 30 May 1996

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1995944393

zbMATH Keywords

Borel transformnonlinear ordinary differential equationformal asymptotic seriesStokes phenomenonexponential asymptoticsexponential corrections

Mathematics Subject Classification ID

Asymptotic expansions of solutions to ordinary differential equations (34E05) Stokes phenomena and connection problems (linear and nonlinear) for ordinary differential equations in the complex domain (34M40)

Related Items (6)

Analysis of a renormalization group method and normal form theory for perturbed ordinary differential equations ⋮ Renormalization group and fractional calculus methods in a complex world: a review ⋮ Working with multiscale asymptotics ⋮ Simple viscous flows: From boundary layers to the renormalization group ⋮ RENORMALIZATION AND ASYMPTOTICS ⋮ Variation of Parameters and the Renormalization Group Method

Cites Work

• Two-timing on the half line for damped oscillation equations
• Differential inequalities and applications to nonlinear singular perturbation problems
• Perturbation Techniques for Oscillatory Systems with Slowly Varying Coefficients
• The Multivariable Method in Singular Perturbation Analysis
• The Use of an lnvariance Condition in the Solution of Multiple‐Scale Singular Perturbation Problems: Ordinary Differential Equations
• Two-Timing Methods Valid on Expanding Intervals
• Validity of averaging methods for certain systems with periodic solutions
• Averaging methods in nonlinear dynamical systems

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