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, 2011, Volume 90, Issue 3, Pages 323–339
DOI: https://doi.org/10.4213/mzm3859 (Mi mzm3859) 		 
This article is cited in 10 scientific papers (total in 10 papers)

On the Solvability of Initial Boundary-Value Problems for a Class of Operator-Differential Equations of Third Order

A. R. Alievab

a Baku State University
b Institute of Mathematics and Mechanics, Azerbaijan National Academy of Sciences
Full-text PDF (538 kB) Citations (10)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm3859
Abstract: We obtain sufficient conditions for the regular solvability of initial boundary-value problems for a class of operator-differential equations of third order with variable coefficients on the semiaxis. These conditions are expressed only in terms of the operator coefficients of the equations under study. We obtain estimates of the norms of intermediate derivative operators via the discontinuous principal parts of the equations and also find relations between these estimates and the conditions for regular solvability.
Keywords: operator-differential equation, self-adjoint operator, initial boundary-value problem, Hilbert space, Banach space, Fourier transform, polynomial operator pencil.
Received: 02.05.2007
Revised: 13.01.2011
English version:
Mathematical Notes, 2011, Volume 90, Issue 3, Pages 307–321
DOI: https://doi.org/10.1134/S000143461109001X
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: A. R. Aliev, “On the Solvability of Initial Boundary-Value Problems for a Class of Operator-Differential Equations of Third Order”, Mat. Zametki, 90:3 (2011), 323–339; Math. Notes, 90:3 (2011), 307–321
Citation in format AMSBIB
\Bibitem{Ali11}
\by A.~R.~Aliev
\paper On the Solvability of Initial Boundary-Value Problems for a Class of Operator-Differential Equations of Third Order
\jour Mat. Zametki
\yr 2011
\vol 90
\issue 3
\pages 323--339
\mathnet{http://mi.mathnet.ru/mzm3859}
\crossref{https://doi.org/10.4213/mzm3859}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2868363}
\transl
\jour Math. Notes
\yr 2011
\vol 90
\issue 3
\pages 307--321
\crossref{https://doi.org/10.1134/S000143461109001X}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000296476500001}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80155213603}
Linking options:
  • https://www.mathnet.ru/eng/mzm3859
  • https://doi.org/10.4213/mzm3859
  • https://www.mathnet.ru/eng/mzm/v90/i3/p323
    • This publication is cited in the following 10 articles:
    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:1106
    Full-text PDF :250
    References:158
    First page:126
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024