A formula for the mass density of a vibrating string in terms of the trace

DOI10.1016/0022-247X(89)90185-6zbMath0687.34017MaRDI QIDQ1262991

Walter A. Pranger

Publication date: 1989

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

zbMATH Keywords

vibrating stringinverse spectral theorymass density

Mathematics Subject Classification ID

Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10)

Related Items (3)

The Uniqueness Theorem for the Solutions of Dual Equations of Sturm-Liouville Problems with Singular Points and Turning Points ⋮ Examples and counter-examples for a string density formula in the case of a discontinuity ⋮ The uniqueness of the solution of dual equations of an inverse indefinite Sturm--Liouville problem

Cites Work

• Explicit solution of the inverse problem for a vibrating string
• Analytical Methods for Recovering Coefficients in Differential Equations from Spectral Data
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