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Zapiski Nauchnykh Seminarov POMI, 2009, Volume 370, Pages 203–218 (Mi znsl3539)  
This article is cited in 2 scientific papers (total in 2 papers)

An application of the fixed point theorem to the inverse Sturm–Liouville problem

D. Chelkakab

a St. Petersburg Department of Steklov Mathematical Institute RAS, St. Petersburg, Russia
b St. Petersburg State University, Dept. of Math. Analysis, St. Petersburg, Russia
Full-text PDF (616 kB) Citations (2)
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Abstract: We consider Sturm–Liouville operators $-y''+v(x)y$ on $[0,1]$ with Dirichlet boundary conditions $y(0)=y(1)=0$. For any $1\le p<\infty$, we give a short proof of the characterization theorem for the spectral data corresponding to $v\in L^p(0,1)$. Bibl. – 10 titles.
Key words and phrases: Sturm–Liouville operators, characterization of spectral data.
Received: 20.10.2009
English version:
Journal of Mathematical Sciences (New York), 2010, Volume 166, Issue 1, Pages 118–126
DOI: https://doi.org/10.1007/s10958-010-9850-z
Bibliographic databases:
Document Type: Article
UDC: 517.984.54
Language: English
Citation: D. Chelkak, “An application of the fixed point theorem to the inverse Sturm–Liouville problem”, Boundary-value problems of mathematical physics and related problems of function theory. Part 40, Zap. Nauchn. Sem. POMI, 370, POMI, St. Petersburg, 2009, 203–218; J. Math. Sci. (N. Y.), 166:1 (2010), 118–126
Citation in format AMSBIB
\Bibitem{Che09}
\by D.~Chelkak
\paper An application of the fixed point theorem to the inverse Sturm--Liouville problem
\inbook Boundary-value problems of mathematical physics and related problems of function theory. Part~40
\serial Zap. Nauchn. Sem. POMI
\yr 2009
\vol 370
\pages 203--218
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl3539}
\transl
\jour J. Math. Sci. (N. Y.)
\yr 2010
\vol 166
\issue 1
\pages 118--126
\crossref{https://doi.org/10.1007/s10958-010-9850-z}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-77949312921}
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  • https://www.mathnet.ru/eng/znsl/v370/p203
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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