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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

On the exactness of an S-shaped
bifurcation curve


Authors: Philip Korman and Yi Li
Journal: Proc. Amer. Math. Soc. 127 (1999), 1011-1020
MSC (1991): Primary 34B15
MathSciNet review: 1610804
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Abstract: For a class of two-point boundary value problems we prove exactness of an S-shaped bifurcation curve. Our result applies to a problem from combustion theory, which involves nonlinearities like $e^{au/(u+a)}$ for $a>0$.


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Additional Information

Philip Korman
Affiliation: Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio 45221-0025
Email: kormanp@math.uc.edu

Yi Li
Affiliation: Department of Mathematics, University of Iowa, Iowa City, Iowa 52242
Email: yli@math.uiowa.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-99-04928-X
PII: S 0002-9939(99)04928-X
Keywords: S-shaped bifurcation curve, Crandall-Rabinowitz theorem
Received by editor(s): July 8, 1997
Communicated by: Hal L. Smith
Article copyright: © Copyright 1999 American Mathematical Society