Nonlinear Multi-Parameter Eigenvalue Problems for Systems of Nonlinear Ordinary Differential Equations Arising in Electromagnetics

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Date
2014-12-20MFO Scientific Program
Research in Pairs 2014Series
Oberwolfach Preprints;2014,15Author
Angermann, Lutz
Shestopalov, Yury V.
Smirnov, Yury G.
Yatsyk, Vasyl V.
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Show full item recordOWP-2014-15
Abstract
We investigate a generalization of one-parameter eigenvalue problems arising in the theory of nonlinear waveguides to a more general nonlinear multiparameter eigenvalue problem for a nonlinear operator. Using an integral equation approach, we derive functional dispersion equations whose roots yield the desired eigenvalues. The existence and distribution of roots are verified.