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Zapiski Nauchnykh Seminarov POMI, 2018, Volume 471, Pages 225–260 (Mi znsl6634)  
This article is cited in 1 scientific paper (total in 1 paper)

Wave model of the Sturm–Liouville operator on an interval

S. A. Simonovab

a St. Petersburg Department of Steklov Mathematical Institute of Russian Academy of Sciences, St. Petersburg, Russia
b St. Petersburg State University, St. Petersburg, Russia
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Abstract: In the paper we construct the wave functional model of a symmetric restriction of the regular Sturm–Liouville operator on an interval. The model is based upon the notion of the wave spectrum and is constructed according to an abstract scheme which was proposed earlier. The result of the construction is a differential operator of the second order on an interval, which differs from the original operator only by a simple transformation.
Key words and phrases: functional model, wave model, symmetric operator, Green system, wave spectrum, inverse problem.
Funding agency Grant number
Russian Foundation for Basic Research 18-31-00185мол_а
Received: 28.09.2018
English version:
Journal of Mathematical Sciences (New York), 2019, Volume 243, Issue 5, Pages 783–807
DOI: https://doi.org/10.1007/s10958-019-04578-2
Bibliographic databases:
Document Type: Article
UDC: 517.951
Language: Russian
Citation: S. A. Simonov, “Wave model of the Sturm–Liouville operator on an interval”, Mathematical problems in the theory of wave propagation. Part 48, Zap. Nauchn. Sem. POMI, 471, POMI, St. Petersburg, 2018, 225–260; J. Math. Sci. (N. Y.), 243:5 (2019), 783–807
Citation in format AMSBIB
\Bibitem{Sim18}
\by S.~A.~Simonov
\paper Wave model of the Sturm--Liouville operator on an interval
\inbook Mathematical problems in the theory of wave propagation. Part~48
\serial Zap. Nauchn. Sem. POMI
\yr 2018
\vol 471
\pages 225--260
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl6634}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2019
\vol 243
\issue 5
\pages 783--807
\crossref{https://doi.org/10.1007/s10958-019-04578-2}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85075128995}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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