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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2010, Number 2, Pages 39–52 (Mi ivm6698)  
This article is cited in 7 scientific papers (total in 7 papers)

The Riesz bases consisting of eigen and associated functions for a functional differential operator with variable structure

V. P. Kurdyumov, A. P. Khromov

Chair of Differential Equations and Applied Mathematics, Saratov State University, Saratov, Russia
Full-text PDF (242 kB) Citations (7)
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Abstract: We consider a functional differential operator of variable structure with an integral boundary condition. We prove that its eigen and associated functions form a Riesz basis with brackets in the space $L^3_2[0,1]$.
Keywords: Riesz basis, resolvent, eigenfunction, boundary condition, regularity.
Received: 03.10.2007
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, Volume 54, Issue 2, Pages 33–45
DOI: https://doi.org/10.3103/S1066369X10020052
Bibliographic databases:
UDC: 517.984
Language: Russian
Citation: V. P. Kurdyumov, A. P. Khromov, “The Riesz bases consisting of eigen and associated functions for a functional differential operator with variable structure”, Izv. Vyssh. Uchebn. Zaved. Mat., 2010, no. 2, 39–52; Russian Math. (Iz. VUZ), 54:2 (2010), 33–45
Citation in format AMSBIB
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\paper The Riesz bases consisting of eigen and associated functions for a~functional differential operator with variable structure
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
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\issue 2
\pages 39--52
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\transl
\jour Russian Math. (Iz. VUZ)
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\issue 2
\pages 33--45
\crossref{https://doi.org/10.3103/S1066369X10020052}
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    • This publication is cited in the following 7 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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    References:45
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