Mathematics of the USSR-Izvestiya
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Izv. RAN. Ser. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Mathematics of the USSR-Izvestiya, 1987, Volume 28, Issue 2, Pages 413–420
DOI: https://doi.org/10.1070/IM1987v028n02ABEH000890 (Mi im1491) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Multiple completeness in the sense of M. V. Keldysh of root functions of elliptic boundary value problems with a polynomial spectral parameter

S. Ya. Yakubov
English version PDF (364 kB) Citations (3) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/IM1987v028n02ABEH000890
Abstract: In spite of the fact that the theory of solvability of elliptic boundary value problems with a polynomial spectral parameter was completed in the 1960s, up till now multiple completeness of the root functions of such problems has not been proved. In this paper the author first establishes multiple completeness of the root vectors of a polynomial unbounded operator pencil that is not of Keldysh form, and then as an application the indicated gap is filled.
Bibliography: 13 titles.
Received: 30.11.1983
Bibliographic databases:
UDC: 517.98
MSC: 35J40, 35P10
Language: English
Original paper language: Russian
Citation: S. Ya. Yakubov, “Multiple completeness in the sense of M. V. Keldysh of root functions of elliptic boundary value problems with a polynomial spectral parameter”, Math. USSR-Izv., 28:2 (1987), 413–420
Citation in format AMSBIB
\Bibitem{Yak86}
\by S.~Ya.~Yakubov
\paper Multiple completeness in the sense of M.\,V.~Keldysh of root functions of elliptic boundary value problems with a~polynomial spectral parameter
\jour Math. USSR-Izv.
\yr 1987
\vol 28
\issue 2
\pages 413--420
\mathnet{http://mi.mathnet.ru//eng/im1491}
\crossref{https://doi.org/10.1070/IM1987v028n02ABEH000890}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=842589}
\zmath{https://zbmath.org/?q=an:0615.35061}
Linking options:
  • https://www.mathnet.ru/eng/im1491
  • https://doi.org/10.1070/IM1987v028n02ABEH000890
  • https://www.mathnet.ru/eng/im/v50/i2/p425
    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024