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Sbornik: Mathematics, 2007, Volume 198, Issue 11, Pages 1579–1598
DOI: https://doi.org/10.1070/SM2007v198n11ABEH003897 (Mi sm1491) 		 
This article is cited in 52 scientific papers (total in 52 papers)

The inverse spectral problem for pencils of differential operators

I. M. Guseinovab, I. M. Nabievab

a Baku State University
b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
English version PDF (360 kB) Citations (52)
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DOI: https://doi.org/10.1070/SM2007v198n11ABEH003897
Abstract: The inverse problem of spectral analysis for a quadratic pencil of Sturm–Liouville operators on a finite interval is considered. A uniqueness theorem is proved, a solution algorithm is presented, and sufficient conditions for the solubility of the inverse problem are obtained.
Bibliography: 31 titles.
Received: 11.01.2006 and 11.04.2007
Russian version:
Matematicheskii Sbornik, 2007, Volume 198, Number 11, Pages 47–66
DOI: https://doi.org/10.4213/sm1491
Bibliographic databases:
UDC: 517.984
MSC: Primary 34B24, 34L05; Secondary 47E05
Language: English
Original paper language: Russian
Citation: I. M. Guseinov, I. M. Nabiev, “The inverse spectral problem for pencils of differential operators”, Mat. Sb., 198:11 (2007), 47–66; Sb. Math., 198:11 (2007), 1579–1598
Citation in format AMSBIB
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    • This publication is cited in the following 52 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник Sbornik: Mathematics
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    Abstract page:962
    Russian version PDF:339
    English version PDF:19
    References:115
    First page:11
     
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