More Sturm–Liouville Theory

Robert F. Brown

Chapter Chapter 24 in A Topological Introduction to Nonlinear Analysis, 2014, pp 191-203 from Springer

Abstract: Abstract In Theorem 23.6 , the bifurcation theorem for nonlinear Sturm–Liouville eigenvalue problems Lu = F (sBC) that concluded the previous chapter, a key hypothesis was the invertibility of L u = − ( p u ′ ) ′ + q u $$Lu = -(pu')' + qu$$ 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: Nonlinear Sturm-Liouville Eigenvalue Problems; Sturm-Liouville Differential Equation; Polar Coordinate Equation; Nonsimple Zero; Linear Initial Value Problem (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/978-3-319-11794-2_24

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