TITLE:
On Bifurcation from Infinity and Multipoint Boundary Value Problems
AUTHORS:
Guy Degla
KEYWORDS:
Krein-Rutman, Positivity, Cone, Homogeneity, Compactness, Eigenvalue, Simplicity, Bifurcation
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.4,
April
23,
2014
ABSTRACT: 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.