Verification of bifurcation diagrams for polynomial-like equations

被引：0

作者：

Korman, Philip ^{[1
]}

Li, Yi ^{[2
,3
]}

Ouyang, Tiancheng ^{[4
]}

机构：

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

[2] Hunan Normal Univ, Dept Math, Changsha 410081, Hunan, Peoples R China

[3] Univ Iowa, Iowa City, IA 52242 USA

[4] Brigham Young Univ, Dept Math, Provo, UT 84602 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2008年 / 212卷 / 02期

关键词：

exact number of solutions; verification of bifurcation diagrams;

D O I：

10.1016/j.cam.2006.11.031

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The results of our recent paper [P. Korman, Y. Li, T. Ouyang, Computing the location and the direction of bifurcation, Math. Res. Lett. 12 (2005) 933-944] appear to be sufficient to justify computer-generated bifurcation diagram for any autonomous two-point Dirichlet problem. Here we apply our results to polynomial-like nonlinearities. (C) 2006 Elsevier B.V. All rights reserved.

引用

页码：187 / 193

页数：7

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