Method of Y-Mappings for Study of Multiparameter Nonlinear Eigenvalue Problems

For the study of nonlinear multiparameter eigenvalue problems, a method of Y -mappings, making it possible to prove the existence of solutions, is proposed. The problem of propagation of coupled polarized electromagnetic waves in a nonlinear layer with saturating nonlinearity is studied. The concept...

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Bibliographic Details

Published in:	Computational mathematics and mathematical physics Vol. 62; no. 1; pp. 150 - 156
Main Author:	Smirnov, Yu. G.
Format:	Journal Article
Language:	English
Published:	Moscow Pleiades Publishing 01.01.2022 Springer Nature B.V
Subjects:	Computational Mathematics and Numerical Analysis Eigenvalues Eigenvectors Electromagnetic radiation Existence theorems Fixed points (mathematics) Mathematics Mathematics and Statistics Nonlinearity Partial Differential Equations Wave propagation coupled polarized electromagnetic waves multiparameter nonlinear eigenvalue problem Sturm–Liouville problem fixed point of mapping
ISSN:	0965-5425, 1555-6662
Online Access:	Get full text
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