Necessary Conditions for Applicability of Poincare-Lighthill Perturbation Theory

Details Necessary Conditions for Applicability of Poincare-Lighthill Perturbation Theory Necessary Conditions for Applicability of Poincare-Lighthill Perturbation Theory

Jan 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971qapma..28..463u&link_type=abstract

Quarterly of Applied Mathematics Vol. 28, 463

Mathematics

Scientific paper

We establish necessary conditions for the applicability of Poincare-Lighthill (or coordinate stretching) perturbation theory to ordinary differential equations. The criteria are simple consequences of a unique modification of the classical theory of coordinate stretching. The usefulness of the new approach and the role of the criteria of applicability are illustrated by means of simple examples.

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