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Wegeneralize a result on bifurcation from infinity of high order ordinarydifferential equations with multi-point boundary conditions. Our abstractsetting represents a variant of Nonlinear Krein-Ruthman theorems. Furthermore,an analysis of this abstract setting raises an open question motivated by somemisunderstanding and inconclusive proofs about the simplicity of principaleigenvalues in some articles in the literature.

KEYWORDS

Krein-Rutman, Positivity, Cone, Homogeneity, Compactness, Eigenvalue, Simplicity, Bifurcation

Cite this paper

Degla, G. 2014 On Bifurcation from Infinity and Multipoint Boundary Value Problems. Advances in Pure Mathematics, 4, 108-117. doi: 10.4236-apm.2014.44018.





Autor: Guy Degla

Fuente: http://www.scirp.org/



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