In Theorem 15.4, the bifurcation theorem of nonlinear Sturm-Liouville eigenvalue problems Lu = F (sBC), which 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 Nontrivial Solution Zero Function Previous Chapter Bifurcation Theorem
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