Nonlinear Sturm-Liouville Theory

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

Chapter 18 in A Topological Introduction to Nonlinear Analysis, 2004, pp 133-142 from Springer

Abstract: Abstract In Chapter 20, 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 the 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.

Date: 2004
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DOI: 10.1007/978-0-8176-8124-1_18

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