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

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Date
2014-12-20
MFO Scientific Program
Research in Pairs 2014
Series
Oberwolfach Preprints;2014,15
Author
Angermann, Lutz
Shestopalov, Yury V.
Smirnov, Yury G.
Yatsyk, Vasyl V.
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OWP-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.
Mathematics Subject Classification (MSC)
34 • 47
DOI
10.14760/OWP-2014-15
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Mathematisches Forschungsinstitut Oberwolfach copyright © 2017-2019 
Contact Us | Legal Notice | Data Protection Statement
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