On Bifurcation from Infinity and Multipoint Boundary Value Problems

• 作者: Guy Degla
• 来源期刊: 理论数学进展(英文)
• 学科: 数学
• 关键词: Krein-Rutman POSITIVITY Cone HOMOGENEITY COMPACTNESS EIGENVALUE SIMPLICITY BIFURCATION
• 年，卷（期）: 2014,（4）
• 页码范围: 108-117
• 页数: 10页
• 分类号: O1

摘要

We generalize a result on bifurcation from infinity of high order ordinary differential equations with multi-point boundary conditions. Our abstract setting represents a variant of Nonlinear Krein-Ruthman theorems. Furthermore, an analysis of this abstract setting raises an open question motivated by some misunderstanding and inconclusive proofs about the simplicity of principal eigenvalues in some articles in the literature.