Uniform simplification in a full neighborhood of a turning point

doi:https://doi.org/10.1016/j.crma.2015.06.011

Article10.1016/j.crma.2015.06.011

Uniform simplification in a full neighborhood of a turning point

Charlotte Hulek-2015-07-30-Comptes Rendus Mathématique

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TL;DRAbstract

We give an analytic version of a formal theorem due to R.J. Hanson and D.L. Russell. This version is a result of uniform simplification in a full neighborhood of a turning point for linear singularly perturbed differential equations of the second order, which generalizes a well-known theorem of Y. Sibuya.

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We give an analytic version of a formal theorem due to R.J. Hanson and D.L. Russell. This version is a result of uniform simplification in a full neighborhood of a turning point for linear singularly perturbed differential equations of the second order, which generalizes a well-known theorem of Y. Sibuya.

Keywords

MathematicsTurning pointOrder (exchange)Point (geometry)Pure mathematicsCombinatoricsMathematical analysisCalculus (dental)

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