On the exactness of an S-shaped bifurcation curve

Korman, Philip; Li, Yi

doi:10.1090/S0002-9939-99-04928-X

On the exactness of an S-shaped bifurcation curve
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by Philip Korman and Yi Li

Proc. Amer. Math. Soc. 127 (1999), 1011-1020

DOI: https://doi.org/10.1090/S0002-9939-99-04928-X

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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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