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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2009, Number 6, Pages 42–53 (Mi ivm1461)  
This article is cited in 12 scientific papers (total in 12 papers)

Completeness of eigenfunctions of one class of pencils of differential operators with constant coefficients

V. S. Rykhlov

Chair of Differential Equations and Applied Mathematics, Saratov State University, Saratov, Russia
Full-text PDF (219 kB) Citations (12)
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Abstract: In this paper, in spaces of functions square summable on finite intervals we study the one-fold completeness of the system of eigen- and associated functions for the pencil of ordinary differential operators generated by a differential expression with constant coefficients (we assume that the roots of the corresponding characteristic equation lie on one and the same ray) and specific semisplitting homogeneous boundary value conditions.
Keywords: multiple completeness, one-fold completeness, eigen- and associated functions, pencil of ordinary differential operators.
Received: 02.04.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2009, Volume 53, Issue 6, Pages 33–43
DOI: https://doi.org/10.3103/S1066369X09060061
Bibliographic databases:
UDC: 517.927.25
Language: Russian
Citation: V. S. Rykhlov, “Completeness of eigenfunctions of one class of pencils of differential operators with constant coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2009, no. 6, 42–53; Russian Math. (Iz. VUZ), 53:6 (2009), 33–43
Citation in format AMSBIB
\Bibitem{Ryk09}
\by V.~S.~Rykhlov
\paper Completeness of eigenfunctions of one class of pencils of differential operators with constant coefficients
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2009
\issue 6
\pages 42--53
\mathnet{http://mi.mathnet.ru/ivm1461}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2583998}
\zmath{https://zbmath.org/?q=an:1190.34109}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2009
\vol 53
\issue 6
\pages 33--43
\crossref{https://doi.org/10.3103/S1066369X09060061}
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    • This publication is cited in the following 12 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)
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