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On the exactness of an S-shaped bifurcation curve
Authors:Philip Korman   Yi Li
Affiliation:Department of Mathematical Sciences, University of Cincinnati, Cincinnati, Ohio 45221-0025 ; Department of Mathematics, University of Iowa, Iowa City, Iowa 52242
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 $a>0$.

Keywords:S-shaped bifurcation curve   Crandall-Rabinowitz theorem
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