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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)
References:
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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
Russian version:
Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya, 1986, Volume 50, Issue 2, Pages 425–432
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”, Izv. Akad. Nauk SSSR Ser. Mat., 50:2 (1986), 425–432; 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 Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1986
\vol 50
\issue 2
\pages 425--432
\mathnet{http://mi.mathnet.ru/im1491}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=842589}
\zmath{https://zbmath.org/?q=an:0615.35061}
\transl
\jour Math. USSR-Izv.
\yr 1987
\vol 28
\issue 2
\pages 413--420
\crossref{https://doi.org/10.1070/IM1987v028n02ABEH000890}
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  • 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
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    Abstract page:400
    Russian version PDF:114
    English version PDF:11
    References:74
    First page:3
     
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