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Funktsional'nyi Analiz i ego Prilozheniya, 2002, Volume 36, Issue 4, Pages 74–77
DOI: https://doi.org/10.4213/faa222 (Mi faa222) 		 
This article is cited in 20 scientific papers (total in 20 papers)

Brief communications

A Sturm–Liouville Inverse Spectral Problem with Boundary Conditions Depending on the Spectral Parameter

C. Van der Meea, V. N. Pyvovarchykb

a Università di Cagliari
b Odessa State Academy of Building and Architecture
Full-text PDF (107 kB) Citations (20)
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DOI: https://doi.org/10.4213/faa222
Abstract: 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.
Keywords: Sturm–Liouville problem, damped string, spectral parameter-dependent boundary conditions, eigenvalues, asymptotics.
Received: 10.12.2001
English version:
Functional Analysis and Its Applications, 2002, Volume 36, Issue 4, Pages 315–317
DOI: https://doi.org/10.1023/A:1021770012098
Bibliographic databases:
Document Type: Article
UDC: 517.43+517.9
Language: Russian
Citation: C. Van der Mee, V. N. Pyvovarchyk, “A Sturm–Liouville Inverse Spectral Problem with Boundary Conditions Depending on the Spectral Parameter”, Funktsional. Anal. i Prilozhen., 36:4 (2002), 74–77; Funct. Anal. Appl., 36:4 (2002), 315–317
Citation in format AMSBIB
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    • This publication is cited in the following 20 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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