Iso-spectral operators: Some model examples with discontinuous coefficients

DOI10.1016/0022-247X(88)90048-0zbMath0668.47011OpenAlexW2049571847MaRDI QIDQ1118137

H. P. W. Gottlieb

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0022-247x(88)90048-0

zbMATH Keywords

eigenvalue spectraiso-spectral operatorsoperators with different discontinuous coefficient functionsvibrating beams with various end-conditions

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Ordinary differential operators (34L99) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items

Exploring isospectral spring–mass systems with firefly algorithm, Spectral properties of an even-order differential operator with a discontinuous weight function, Asymptotics of the spectrum of even-order differential operators with discontinuos weight functions, Wake-free cylindrical and spherical waves in inhomogeneous media, On the isospectrality of the scalar energy-dependent Schrödingerproblems, Examples and counter-examples for a string density formula in the case of a discontinuity, An Inverse Spectral Problem for Sturm-Liouville Operators with Discontinuous Coefficients, Asymptotics of eigenvalues of differential operator with alternating weight function, Asymptotics of eigenvalues of fourth order differential operator with alternating weight function, On the study of the spectral properties of differential operators with a smooth weight function

Cites Work

• Explicit solution of the inverse problem for a vibrating string
• Asymptotic behavior of the eigenvalues of a Sturm-Liouville system with discontinuous coefficients
• Inverse problem for a vibrating beam
• Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe. Bestimmung der Differentialgleichung durch die Eigenwerte
• ON THE INVERSE PROBLEM OF THE VIBRATING STRING OR ROD
• Discontinuous inverse eigenvalue problems
• The inverse problem for the vibrating beam
• Qualitative Properties of vibrating systems
• On the Multiplicity of Solutions of the Inverse Problem for a Vibrating Beam
• Inverse Problem for the Vibrating Beam in the Free-Clamped Configuration
• Vibrations of stepped strings and beams
• An Inverse Eigenvalue Problem of Order Four—An Infinite Case
• The inverse sturm‐liouville problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item