Proceedings of the American Mathematical Society

Author(s): Philip Korman; Yi Li
Journal: Proc. Amer. Math. Soc. 127 (1999), 1011-1020.
MSC (1991): Primary 34B15
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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

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 34B15

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: 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
Copyright of article: Copyright 1999, American Mathematical Society

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