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, 2006, Volume 6, Issue 1-2, Pages 3–11
DOI: https://doi.org/10.18500/1816-9791-2006-6-1-2-3-11
(Mi isu656)
 

This article is cited in 1 scientific paper (total in 1 paper)

Mathematics

Inverse spectral problem of reconstructing one-dimensional perturbation of integral Volterra operator

S. A. Buterin

Saratov State University
Full-text PDF (877 kB) Citations (1)
References:
Abstract: An integral operator representable as the sum of a Volterra operator and one-dimensional one is considered, when the inverse operator for Volterra one is an integro-differential operator of second order. The inverse problem of reconstruction of the one-dimensional item from spectral data provided that the Volterra component is known a priori is investigated. The uniqueness of the solution of the inverse problem is proved and conditions are obtained that are necessary and sufficient for its solvability.
Funding agency Grant number
Russian Foundation for Basic Research 04-01-00007_а
Document Type: Article
UDC: 517.984
Language: Russian
Citation: S. A. Buterin, “Inverse spectral problem of reconstructing one-dimensional perturbation of integral Volterra operator”, Izv. Saratov Univ. Math. Mech. Inform., 6:1-2 (2006), 3–11
Citation in format AMSBIB
\Bibitem{But06}
\by S.~A.~Buterin
\paper Inverse spectral problem of reconstructing one-dimensional perturbation of integral Volterra operator
\jour Izv. Saratov Univ. Math. Mech. Inform.
\yr 2006
\vol 6
\issue 1-2
\pages 3--11
\mathnet{http://mi.mathnet.ru/isu656}
\crossref{https://doi.org/10.18500/1816-9791-2006-6-1-2-3-11}
Linking options:
  • https://www.mathnet.ru/eng/isu656
  • https://www.mathnet.ru/eng/isu/v6/i1/p3
  • 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
    Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика
    Statistics & downloads:
    Abstract page:163
    Full-text PDF :73
    References:36
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024