On Bifurcation from Infinity and Multipoint Boundary Value Problems

DOI: 10.4236/apm.2014.44018   PDF   HTML   XML   3,369 Downloads   4,447 Views  


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.

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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.

Conflicts of Interest

The authors declare no conflicts of interest.


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