Nonlinear Sturm–Liouville Theory

Robert F. Brown

Chapter Chapter 23 in A Topological Introduction to Nonlinear Analysis, 2014, pp 179-189 from Springer

Abstract: Abstract In Chap. 25, we’ll apply the Krasnoselskii–Rabinowitz bifurcation theorem in a very specific way: to the Euler buckling problem. The buckling problem belongs to an important class of problems in ordinary differential equations called nonlinear Sturm–Liouville problems. To begin this chapter I’ll describe the Euler buckling problem and place it in that more general differential equation context. Then I’ll apply the bifurcation theorem to the general class of nonlinear Sturm–Liouville problems to obtain a tool that I’ll be able to use for the buckling problem.

Keywords: Nonlinear Sturm-Liouville Eigenvalue Problems; Frechet Differentiability; Sturm-Liouville Boundary Value Problems; Tubular Reactor Model; Column Buckling (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-11794-2_23

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DOI: 10.1007/978-3-319-11794-2_23

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