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Nussbaum, R. (1980) Eigenvectors of Nonlinear Positive Operators and the Linear Krein-Rutman Theorem. Lecture Notes in Mathematics, 886, 309-330.

has been cited by the following article:

• 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.