Geodesic
A Sturm–Liouville Inverse Spectral Problem with Boundary Conditions Depending on the Spectral Parameter
Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 4, pp. 74-77 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider a boundary value problem generated by the Sturm-Liouville equation on a finite interval. Both the equation and the boundary conditions depend quadratically on the spectral parameter. This boundary value problem occurs in the theory of small vibrations of a damped string. The inverse problem, i.e., the problem of recovering the equation and the boundary conditions from the given spectrum, is solved.
Mots-clés : Sturm–Liouville problem
Keywords: damped string, spectral parameter-dependent boundary conditions, eigenvalues, asymptotics. 
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C. Van der Mee; V. N. Pyvovarchyk. A Sturm–Liouville Inverse Spectral Problem with Boundary Conditions Depending on the Spectral Parameter. Funkcionalʹnyj analiz i ego priloženiâ, Tome 36 (2002) no. 4, pp. 74-77. http://geodesic.mathdoc.fr/item/FAA_2002_36_4_a7/

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