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A nonlinear multiparameter EV problem
Institut für MathematikTechnische Universität Clausthal, Clausthal-Zellerfeld, Germany.
Högskolan i Gävle, Akademin för teknik och miljö, Avdelningen för elektronik, matematik och naturvetenskap, Matematik.
Department of Mathematics and Supercomputing, Penza State University, Penza, Russia.
O.Ya. Usikov Institute for Radiophysics and Electronics, National Academy of Sciences of Ukraine, Kharkiv, Ukraine.
2018 (engelsk)Inngår i: Progress In Electromagnetics Research Symposium: PIERS 2017, PIERS 2017: Nonlinear and Inverse Problems in Electromagnetics / [ed] Beilina L., Smirnov Y., Springer New York LLC , 2018, s. 55-70Konferansepaper, Publicerat paper (Fagfellevurdert)
Abstract [en]

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.

sted, utgiver, år, opplag, sider
Springer New York LLC , 2018. s. 55-70
Serie
Springer Proceedings in Mathematics & Statistics (PROMS) ; 243
Emneord [en]
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
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Identifikatorer
URN: urn:nbn:se:hig:diva-27866DOI: 10.1007/978-3-319-94060-1_5Scopus ID: 2-s2.0-85051146418ISBN: 9783319940595 (tryckt)ISBN: 978-3-319-94060-1 (digital)OAI: oai:DiVA.org:hig-27866DiVA, id: diva2:1246005
Konferanse
PIERS 2017
Tilgjengelig fra: 2018-09-06 Laget: 2018-09-06 Sist oppdatert: 2018-09-06bibliografisk kontrollert

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