More Sturm-Liouville Theory
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.
KeywordsBifurcation Point Bifurcation Theory Liouville Problem Frechet Derivative Separate Boundary Condition
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