More Sturm-Liouville Theory

Robert F. Brown
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Robert F. Brown: University of California, Department of Mathematics

Chapter 19 in A Topological Introduction to Nonlinear Analysis, 2004, pp 143-154 from Springer

Abstract: Abstract In Theorem 18.6, the bifucation theorem for nonlinear Sturm-Liouville eigenvalue problems Lu = F (sBC) that concluded the previous chapter, a key hypothesis was the invertibility of Lu = -(pu′)′+qu with respect to the given boundary conditions. Certainly a necessary condition for an operator to be invertible is that it be one-to-one.

Keywords: Bifurcation Point; Bifurcation Theory; Liouville Problem; Frechet Derivative; Separate Boundary Condition (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-0-8176-8124-1_19

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