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More Sturm-Liouville Theory

  • Robert F. Brown

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 
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 2004

Authors and Affiliations

  • Robert F. Brown
    • 1
  1. 1.Department of MathematicsUniversity of CaliforniaLos AngelesUSA

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