Displaying similar documents to “Numerical range and related nonlinear functional equations”

Kačanov-Galerkin method

Svatopluk Fučík, Alexander Kratochvíl, Jindřich Nečas (1973)

Commentationes Mathematicae Universitatis Carolinae

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Surjectivity results for nonlinear mappings without oddness conditions

W. Feng, Jeffrey Ronald Leslie Webb (1997)

Commentationes Mathematicae Universitatis Carolinae

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Surjectivity results of Fredholm alternative type are obtained for nonlinear operator equations of the form λ T ( x ) - S ( x ) = f , where T is invertible, and T , S satisfy various types of homogeneity conditions. We are able to answer some questions left open by Fuč’ık, Nečas, Souček, and Souček. We employ the concept of an a -stably-solvable operator, related to nonlinear spectral theory methodology. Applications are given to a nonlinear Sturm-Liouville problem and a three point boundary value problem recently...