More Sturm-Liouville Theory

  • Robert F. Brown


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.


Bifurcation Point Bifurcation Theory Liouville Problem Frechet Derivative Separate Boundary Condition 
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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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