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 95, Issue 1, Pages 18–25
DOI: https://doi.org/10.4213/mzm10195 (Mi mzm10195) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Spectral Analysis of Differential Operators with Unbounded Operator Coefficients in Weighted Spaces of Functions

M. S. Bichegkuev

North-Ossetia State University, Vladikavkaz
Full-text PDF (459 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm10195
Abstract: The spectral properties of operators constructed from a family of evolution operators are studied in Banach spaces of vector functions defined by a weight function of pre-exponential growth. Necessary and sufficient conditions for the invertibility of such operators are obtained in terms of exponential dichotomy. We prove a spectrum mapping theorem for semigroups of Howland difference operators generated by the operator under study.
Keywords: differential operator, weighted spaces of functions, spectral properties of operators, evolution operator, exponential dichotomy, Howland difference operator, Banach space, spectrum mapping theorem.
Received: 19.10.2012
Revised: 08.02.2013
English version:
Mathematical Notes, 2014, Volume 95, Issue 1, Pages 15–21
DOI: https://doi.org/10.1134/S0001434614010027
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: M. S. Bichegkuev, “Spectral Analysis of Differential Operators with Unbounded Operator Coefficients in Weighted Spaces of Functions”, Mat. Zametki, 95:1 (2014), 18–25; Math. Notes, 95:1 (2014), 15–21
Citation in format AMSBIB
\Bibitem{Bic14}
\by M.~S.~Bichegkuev
\paper Spectral Analysis of Differential Operators with Unbounded Operator Coefficients in Weighted Spaces of Functions
\jour Mat. Zametki
\yr 2014
\vol 95
\issue 1
\pages 18--25
\mathnet{http://mi.mathnet.ru/mzm10195}
\crossref{https://doi.org/10.4213/mzm10195}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3267188}
\elib{https://elibrary.ru/item.asp?id=21276956}
\transl
\jour Math. Notes
\yr 2014
\vol 95
\issue 1
\pages 15--21
\crossref{https://doi.org/10.1134/S0001434614010027}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000335457200002}
\elib{https://elibrary.ru/item.asp?id=21866875}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84894810990}
Linking options:
  • https://www.mathnet.ru/eng/mzm10195
  • https://doi.org/10.4213/mzm10195
  • https://www.mathnet.ru/eng/mzm/v95/i1/p18
    • 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
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024