Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2014, Volume 96, Issue 1, Pages 5–21
DOI: https://doi.org/10.4213/mzm10284 (Mi mzm10284) 		 
On Linear Relations Generated by an Integro-Differential Equation with Nevanlinna Measure in the Infinite-Dimensional Case

V. M. Bruk

Saratov State Technical University
Full-text PDF (588 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm10284
Abstract: A system of integral equations that can be reduced to an integro-differential equation with Nevanlinna measure is considered. The families of maximal and minimal linear relations are defined and their holomorphy is established. It is proved that the operators inverse to continuously invertible restrictions of the maximal relations are integral.
Keywords: integro-differential equation, Nevanlinna measure, maximal (minimal) linear relation, holomorphy, separable Hilbert space, Krein–Feller differential operation, Lebesgue–Stieltjes integral.
Received: 17.03.2013
Revised: 25.08.2013
English version:
Mathematical Notes, 2014, Volume 96, Issue 1, Pages 10–25
DOI: https://doi.org/10.1134/S0001434614070025
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
Citation: V. M. Bruk, “On Linear Relations Generated by an Integro-Differential Equation with Nevanlinna Measure in the Infinite-Dimensional Case”, Mat. Zametki, 96:1 (2014), 5–21; Math. Notes, 96:1 (2014), 10–25
Citation in format AMSBIB
\Bibitem{Bru14}
\by V.~M.~Bruk
\paper On Linear Relations Generated by an Integro-Differential Equation with Nevanlinna Measure in the Infinite-Dimensional Case
\jour Mat. Zametki
\yr 2014
\vol 96
\issue 1
\pages 5--21
\mathnet{http://mi.mathnet.ru/mzm10284}
\crossref{https://doi.org/10.4213/mzm10284}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3344270}
\zmath{https://zbmath.org/?q=an:1316.45008}
\elib{https://elibrary.ru/item.asp?id=21826522}
\transl
\jour Math. Notes
\yr 2014
\vol 96
\issue 1
\pages 10--25
\crossref{https://doi.org/10.1134/S0001434614070025}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000340938800002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84906509679}
Linking options:
  • https://www.mathnet.ru/eng/mzm10284
  • https://doi.org/10.4213/mzm10284
  • https://www.mathnet.ru/eng/mzm/v96/i1/p5
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:547
    Full-text PDF :123
    References:86
    First page:34
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024