(Enter summary)
Abstract: : We consider singularly perturbed complex differential equations of the form "u
0
=
\Psi(x; u; a; ") which have a turning point of order p and a p-dimensional control parameter a. We state
conditions of geometric nature, and of transversality in the parameter a, and prove that under these
assumptions there exist solutions which are uniformly bounded with respect to the small perturbation
parameter " on some macroscopic domain, and which are exponentially close to each other. The
approach --- ... (Update)
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BibTeX entry: (Update)
Eric Benoit, Augustin Fruchard, Reinhard Schafke, Guy Wallet, Solutions surstables des 'equations diff'erentielles complexes lentes-rapides `a point tournant, Ann. Fac. Sci. Toulouse Math. (to appear). http://citeseer.ist.psu.edu/benoit99solutions.html More
@misc{ benoit-solutions,
author = "E. Benoit and A. Fruchard and R. Schafke and G. Wallet",
title = "Solutions surstables des 'equations diff'erentielles complexes lentes-rapides
`a point tournant",
text = "Eric Benoit, Augustin Fruchard, Reinhard Schafke, Guy Wallet, Solutions
surstables des 'equations diff'erentielles complexes lentes-rapides `a point
tournant, Ann. Fac. Sci. Toulouse Math. (to appear).",
url = "citeseer.ist.psu.edu/benoit99solutions.html" }
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