On the exactness of an S-shaped bifurcation curve

被引：57

作者：

Korman, P ^{[1
]}

Li, Y

机构：

[1] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA

[2] Univ Iowa, Dept Math, Iowa City, IA 52242 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1999年 / 127卷 / 04期

关键词：

S-shaped bifurcation curve; Crandall-Rabinowitz theorem;

D O I：

10.1090/S0002-9939-99-04928-X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1011 / 1020

页数：10

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