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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the exactness of an S-shaped bifurcation curve
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by Philip Korman and Yi Li PDF
Proc. Amer. Math. Soc. 127 (1999), 1011-1020 Request permission

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
  • MR Author ID: 200737
  • Email: kormanp@math.uc.edu
  • Yi Li
  • Affiliation: Department of Mathematics, University of Iowa, Iowa City, Iowa 52242
  • Email: yli@math.uiowa.edu
  • Received by editor(s): July 8, 1997
  • Communicated by: Hal L. Smith
  • © Copyright 1999 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 127 (1999), 1011-1020
  • MSC (1991): Primary 34B15
  • DOI: https://doi.org/10.1090/S0002-9939-99-04928-X
  • MathSciNet review: 1610804