DIRECTION OF BIFURCATION FOR SOME NON-AUTONOMOUS PROBLEMS

被引：0
|
作者：
Korman, Philip [1 ]
机构：
[1] Univ Cincinnati, Dept Math Sci, Cincinnati, OH 45221 USA
来源：
ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2012年
关键词：
Global solution curves; direction of bifurcation; continuation in a global parameter; BOUNDARY-VALUE-PROBLEMS; EXACT MULTIPLICITY; CURVES;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study the exact multiplicity of positive solutions, and the global solution structure for several classes of non-autonomous two-point problems. We present two situations where the direction of turn can be computed rather directly. As an application, we consider a problem from combustion theory with a sign-changing potential. We illustrate our results by numerical computations, using a novel method.
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页数：13
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