Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 10, Pages 3–19 (Mi ivm8741)  
This article is cited in 5 scientific papers (total in 5 papers)

Linear relations generated by an integral equation with Nevanlinna operator measure

V. M. Bruk

Chair of Mathematics and Modeling, Saratov State Technical University, Saratov, Russia
Full-text PDF (279 kB) Citations (5)
References:
PDF
HTML
Abstract: We define families of maximal and minimal linear relations generated by an integral equation with Nevanlinna operator measure and prove their holomorphic property. We also prove that if a restriction of a maximal relation is continuously invertible, then the operator inverse to this restriction is integral. We apply the obtained results for proving the constancy of deficient numbers of some integral and differential equations.
Keywords: Hilbert space, linear relation, integral equation, holomorphic family of relations, deficient number.
Received: 30.08.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 10, Pages 1–14
DOI: https://doi.org/10.3103/S1066369X12100015
Bibliographic databases:
Document Type: Article
UDC: 517.983
Language: Russian
Citation: V. M. Bruk, “Linear relations generated by an integral equation with Nevanlinna operator measure”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 10, 3–19; Russian Math. (Iz. VUZ), 56:10 (2012), 1–14
Citation in format AMSBIB
\Bibitem{Bru12}
\by V.~M.~Bruk
\paper Linear relations generated by an integral equation with Nevanlinna operator measure
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 10
\pages 3--19
\mathnet{http://mi.mathnet.ru/ivm8741}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3137055}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 10
\pages 1--14
\crossref{https://doi.org/10.3103/S1066369X12100015}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84869386451}
Linking options:
  • https://www.mathnet.ru/eng/ivm8741
  • https://www.mathnet.ru/eng/ivm/y2012/i10/p3
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:442
    Full-text PDF :68
    References:78
    First page:13
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024