Iso-spectral operators: Some model examples with discontinuous coefficients

Gottlieb H.P.W. (1988) Iso-spectral operators: Some model examples with discontinuous coefficients. Journal of Mathematical Analysis and Applications, 132 1: 123-137. doi:10.1016/0022-247X(88)90048-0


Author Gottlieb H.P.W.
Title Iso-spectral operators: Some model examples with discontinuous coefficients
Journal name Journal of Mathematical Analysis and Applications
ISSN 1096-0813
Publication date 1988-05-15
Sub-type Article (original research)
DOI 10.1016/0022-247X(88)90048-0
Volume 132
Issue 1
Start page 123
End page 137
Total pages 15
Subject 2603 Analysis
2604 Applied Mathematics
Abstract Some explicit examples are presented of operators with different discontinuous coefficient functions which possess eigenvalue spectra identical to each other and to the corresponding operator with continuous coefficients. Cases covered include, for the second-order (Sturm-Liouville) problem, the vibrating stepped-density string and the circularly symmetric vibrations of a stepped, inverse-square density annular membrane. Fourth-order systems dealt with correspond to vibrating beams with various end-conditions.
Q-Index Code C1
Q-Index Status Provisional Code
Institutional Status Unknown

Document type: Journal Article
Sub-type: Article (original research)
Collection: Scopus Import - Archived
 
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Citation counts: TR Web of Science Citation Count  Cited 11 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 10 times in Scopus Article | Citations
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