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.
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页码：1011 / 1020
页数：10
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