Russian Mathematical Surveys
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find




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

Russian Mathematical Surveys, 2016, Volume 71, Issue 3, Pages 539–584
DOI: https://doi.org/10.1070/RM9709 (Mi rm9709) 		 
This article is cited in 43 scientific papers (total in 43 papers)

Inverse spectral problems for differential operators on spatial networks

V. A. Yurko

N. G. Chernyshevsky Saratov State University
English version PDF (889 kB) Citations (43)
References:
PDF
HTML
DOI: https://doi.org/10.1070/RM9709
Abstract: A short survey is given of results on inverse spectral problems for ordinary differential operators on spatial networks (geometrical graphs). The focus is on the most important non-linear inverse problems of recovering coefficients of differential equations from spectral characteristics when the structure of the graph is known a priori. The first half of the survey presents results related to inverse Sturm–Liouville problems on arbitrary compact graphs. Results on inverse problems for differential operators of arbitrary order on compact graphs are then presented. In the conclusion the main results on inverse problems on non-compact graphs are given.
Bibliography: 55 titles.
Keywords: differential operators, spatial networks, inverse spectral problems.
Funding agency Grant number
Russian Foundation for Basic Research 16-01-00015
Ministry of Education and Science of the Russian Federation 1.1436.2014К
2014/203-1617
This work was supported by grants no. 1.1436.2014K and 2014/203-1617 of the Russian Ministry of Education and Science and by grant no. 16-01-00015 of the Russian Foundation for Basic Research.
Received: 21.12.2015
Russian version:
Uspekhi Matematicheskikh Nauk, 2016, Volume 71, Issue 3(429), Pages 149–196
DOI: https://doi.org/10.4213/rm9709
Bibliographic databases:
Document Type: Article
UDC: 517.984
MSC: Primary 34A55, 34B45; Secondary 47E05, 74J25
Language: English
Original paper language: Russian
Citation: V. A. Yurko, “Inverse spectral problems for differential operators on spatial networks”, Uspekhi Mat. Nauk, 71:3(429) (2016), 149–196; Russian Math. Surveys, 71:3 (2016), 539–584
Citation in format AMSBIB
\Bibitem{Yur16}
\by V.~A.~Yurko
\paper Inverse spectral problems for differential operators on spatial networks
\jour Uspekhi Mat. Nauk
\yr 2016
\vol 71
\issue 3(429)
\pages 149--196
\mathnet{http://mi.mathnet.ru/rm9709}
\crossref{https://doi.org/10.4213/rm9709}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3535366}
\zmath{https://zbmath.org/?q=an:1359.34025}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2016RuMaS..71..539Y}
\elib{https://elibrary.ru/item.asp?id=26414386}
\transl
\jour Russian Math. Surveys
\yr 2016
\vol 71
\issue 3
\pages 539--584
\crossref{https://doi.org/10.1070/RM9709}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000383395200004}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84987802449}
Linking options:
  • https://www.mathnet.ru/eng/rm9709
  • https://doi.org/10.1070/RM9709
  • https://www.mathnet.ru/eng/rm/v71/i3/p149
    • This publication is cited in the following 43 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Успехи математических наук Russian Mathematical Surveys
    Statistics & downloads:
    Abstract page:807
    Russian version PDF:257
    English version PDF:41
    References:81
    First page:44
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024