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Pr epublications du D epartement de Math ematiques  (Make Corrections)  
Avenue Marillac 17042 La Rochelle Cedex 1 http://www.univ-lr.fr/Labo/MATH...



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Abstract: Introduction. Initialement, le probl eme de la r esonance pos e par Ackerberg et O'Malley [1] portait sur le probl eme aux limites suivant + (x; ")y = 0 (1) y(a) = 1 ; y(b) = B ? 0 (2) o u y est une fonction r eelle de la variable r eelle x variant dans un intervalle r eel [a; b ], ' et sont suffisamment r eguli eres, et " ? 0 est un petit param etre. Ce probl eme a une unique solution y(x; ") et on s'int eresse a son comportement asymptotique lorsque " tend vers z ero. Si la fonction '... (Update)

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@misc{ la-pr,
  author = "Avenue Marillac La",
  title = "Pr epublications du D epartement de Math ematiques",
  url = "citeseer.ist.psu.edu/703600.html" }
Citations (may not include all citations):
17   Asymptotic expansions for ordinary differential equations (context) - WASOW - 1965
14   Chasse au canard (context) - IT, CALLOT et al. - 1981
13   Boundary layer Problems Exhibiting Resonance (context) - ACKERBERG, O'MALLEY - 1970
9   On boundary layer problems exhibiting resonance (context) - MATKOWSKY - 1975
7   A geometric approach to boundary layer problems exhibiting r.. (context) - KOPELL - 1979
4   Solutions surstables des equations diff erentielles complexe.. (context) - IT, FRUCHARD et al. - 1998
4   Overstability : toward a global study (context) - IT, FRUCHARD et al. - 1998
4   The sufficiency of Matkowsky-condition in the problem of res.. (context) - LIN - 1983
4   Nonstandard Analysis (context) - IT, of et al. - 1996
4   Resonance in a boundary value problem of singular perturbati.. (context) - COOK, ECKHAUS - 1973
4   Sufficient conditions for Ackerberg-O'Malley resonance (context) - OLVER - 1978
4   A theorem concerning uniform simplification at a transition .. (context) - SIBUYA - 1981
4   Boundary value problems with a turning point (context) - LAKIN - 1972
3   Champs lents-rapides complexes a une dimension lente (context) - CALLOT - 1993
3   Enlacements de canards (context) - IT - 1990
2   Gevrey solutions of singularly perturbed differential equati.. (context) - CANALIS-DURAND, RAMIS et al. - 1999
2   Bifurcation du portrait de phase pour des equations diff ere.. (context) - CALLOT - 1981
2   ethode du plan d'observabilit e (context) - DIENER - 1981
1   Fruchard : Laboratoire de Math ematiques Calcul Asymptotique (context) - WASOW, Point et al. - 1985

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