Examples and counter-examples for a string density formula in the case of a discontinuity

DOI10.1016/0022-247X(92)90120-3zbMath0754.34084MaRDI QIDQ1193164

H. P. W. Gottlieb

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

vibrationbeamseigenfrequenciesvibrating string density formula

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Vibrations in dynamical problems in solid mechanics (74H45) General spectral theory of ordinary differential operators (34L05) Linear boundary value problems for ordinary differential equations (34B05)

Cites Work

• Explicit solution of the inverse problem for a vibrating string
• Iso-spectral operators: Some model examples with discontinuous coefficients
• Asymptotic behavior of the eigenvalues of a Sturm-Liouville system with discontinuous coefficients
• A formula for the mass density of a vibrating string in terms of the trace
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
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