Method of \(Y\)-mappings for study of multiparameter nonlinear eigenvalue problems (Q2116207)
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scientific article; zbMATH DE number 7491041
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Method of \(Y\)-mappings for study of multiparameter nonlinear eigenvalue problems |
scientific article; zbMATH DE number 7491041 |
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Method of \(Y\)-mappings for study of multiparameter nonlinear eigenvalue problems (English)
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16 March 2022
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The author presents a \(Y\)-mapping method for studying nonlinear multiparameter problems. The author proves that the nonlinear multiparameter problem is equivalent to the \(Y\)-mappings search for fixed points. Also, the author proves the existence of solutions to the problem for sufficiently small values of nonlinearity coefficient.
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multiparameter nonlinear eigenvalue problem
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Sturm-Liouville problem
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fixed point of mapping
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coupled polarized electromagnetic waves
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