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Give your ODEs a singular perturbation!

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Publication:1589970
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DOI10.1006/jmaa.2000.7213zbMath0964.34046OpenAlexW1976274717MaRDI QIDQ1589970

Robert E. jun. O'Malley

Publication date: 19 December 2000

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7213


zbMATH Keywords

singular perturbationsseries solutionsscalar first-order ordinary differential equations


Mathematics Subject Classification ID

Singular perturbations for ordinary differential equations (34E15)


Related Items

A general method for solving singular perturbed impulsive differential equations with two-point boundary conditions ⋮ Canard solution and its asymptotic approximation in a second-order nonlinear singularly perturbed boundary value problem with a turning point



Cites Work

  • The canard unchained or how fast/slow dynamical systems bifurcate
  • Dynamic bifurcations. Proceedings of a conference, held in Luminy, France, March 5-10, 1990
  • Nonstandard analysis in practice
  • Nonlinear singular perturbation phenomena: theory and applications
  • Stiff systems of ordinary differential equations
  • ODE solvers and the method of lines
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