Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Saratov Univ. Math. Mech. Inform.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2013, Volume 13, Issue 3, Pages 59–64
DOI: https://doi.org/10.18500/1816-9791-2013-13-3-59-64 (Mi isu424) 		 
Mathematics

Necessary and sufficient conditions for the solvability of the inverse problem for Sturm–Liouville operators with a nonintegrable singularity inside a finite interval

A. E. Fedoseev

Saratov State University, Russia, 410012, Saratov, Astrahanskaya st., 83
Full-text PDF (144 kB)
References:
PDF
HTML
DOI: https://doi.org/10.18500/1816-9791-2013-13-3-59-64
Abstract: The inverse spectral problem of recovering Sturm–Liouville operators on a finite interval with a nonintegrable Bessel-type singularity in an interior point from the given spectral data is studied. A corresponding uniqueness theorem is proved, a constructive procedure for the solution of the inverse problem is provided. Necessary and sufficient conditions for the solvability of the inverse problem are obtained.
Key words: Sturm–Liouville operators, inverse problems, nonintegrable singularity, Weyl function, spectral data.
Bibliographic databases:
Document Type: Article
UDC: 517.927
Language: Russian
Citation: A. E. Fedoseev, “Necessary and sufficient conditions for the solvability of the inverse problem for Sturm–Liouville operators with a nonintegrable singularity inside a finite interval”, Izv. Saratov Univ. Math. Mech. Inform., 13:3 (2013), 59–64
Citation in format AMSBIB
\Bibitem{Fed13}
\by A.~E.~Fedoseev
\paper Necessary and sufficient conditions for the solvability of the inverse problem for Sturm--Liouville operators with a~nonintegrable singularity inside a~finite interval
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2013
\vol 13
\issue 3
\pages 59--64
\mathnet{http://mi.mathnet.ru/isu424}
\crossref{https://doi.org/10.18500/1816-9791-2013-13-3-59-64}
Linking options:
  • https://www.mathnet.ru/eng/isu424
  • https://www.mathnet.ru/eng/isu/v13/i5/p59
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
    Statistics & downloads:
    Abstract page:186
    Full-text PDF :74
    References:36
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024