Nonlinear Sturm-Liouville Theory

  • Robert F. Brown

Abstract

In the next chapter, 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 in the next chapter for the buckling problem.

Keywords

Bounded Subset Fixed Point Problem Bifurcation Theorem Separate Boundary Condition Buckle Column 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1993

Authors and Affiliations

  • Robert F. Brown
    • 1
  1. 1.Department of MathematicsUniversity of California, Los AngelesLos AngelesUSA

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