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A nonlinear multiparameter EV problem
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- Angermann, L. (author)
- Institut für MathematikTechnische Universität Clausthal, Clausthal-Zellerfeld, Germany
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- Shestopalov, Yury V., 1953- (author)
- Högskolan i Gävle,Matematik
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- Smirnov, Y. G. (author)
- Department of Mathematics and Supercomputing, Penza State University, Penza, Russia
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- (creator_code:org_t)
- 2018-07-20
- 2018
- English.
- In: Progress In Electromagnetics Research Symposium. - Cham : Springer New York LLC. - 9783319940595 - 9783319940601 ; , s. 55-70
- Conference paper (peer-reviewed)
Abstract
Subject headings
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- We investigate a generalization of one-parameter eigenvalue problems arising in the theory of wave propagation in waveguides filled with nonlinear media to more general nonlinear multi-parameter eigenvalue problems for a nonlinear operator. Using an integral equation approach, we derive functional dispersion equations (DEs) whose roots yield the desired eigenvalues. The existence of the roots of DEs is proved and their distribution is described.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Dispersion equations
- Multi-parameter eigenvalue problems
- Nonlinear spectral theory
- Dispersion (waves)
- Integral equations
- Inverse problems
- Mathematical operators
- Nonlinear equations
- Wave propagation
- Eigenvalue problem
- Eigenvalues
- Integral equation approaches
- Multiparameters
- Non-linear media
- Nonlinear operator
- Spectral theory
- Eigenvalues and eigenfunctions
Publication and Content Type
- ref (subject category)
- kon (subject category)
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- Yatsyk, V. V.
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- NATURAL SCIENCES
- NATURAL SCIENCES
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- University of Gävle
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