Muller Boundary Integral Equations for Solving Generalized Complex-Frequency Eigenvalue Problem

Muller Boundary Integral Equations for Solving Generalized Complex-Frequency Eigenvalue Problem

The current paper clarifies the connection between the generalized complex-frequency eigenvalue problem and the eigenvalue problem for the Muller boundary integral equations. It is proved that these problems are spectrally equivalent if a specially tailored eigenvalue problem does not have any solut...

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Veröffentlicht in:Lobachevskii journal of mathematics 2020-07, Vol.41 (7), p.1377-1384
Hauptverfasser: Oktyabrskaya, A. O., Spiridonov, A. O., Karchevskii, E. M.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Boundary integral method
Eigenvalues
Geometry
Integral equations
Mathematical analysis
Mathematical Logic and Foundations
Mathematics
Mathematics and Statistics
Probability Theory and Stochastic Processes
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Zusammenfassung:The current paper clarifies the connection between the generalized complex-frequency eigenvalue problem and the eigenvalue problem for the Muller boundary integral equations. It is proved that these problems are spectrally equivalent if a specially tailored eigenvalue problem does not have any solution.
ISSN:1995-0802
1818-9962
DOI:10.1134/S1995080220070343