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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 3, Pages 31–41 (Mi ivm8443)  
This article is cited in 5 scientific papers (total in 5 papers)

Bisectorial operator pencils and the problem of bounded solutions

A. V. Pechkurov

Chair of Mathematical Methods of Operational Research, Voronezh State University, Voronezh, Russia
Full-text PDF (259 kB) Citations (5)
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Abstract: We consider a linear differential equation unresolved with respect to the derivative. We assume that the spectrum of the corresponding pencil is contained in two sectors. We study the unique existence of a bounded solution for any bounded free term.
Keywords: bisectorial operator pencil, boundary value problem, Green function.
Received: 05.03.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2012, Volume 56, Issue 3, Pages 26–35
DOI: https://doi.org/10.3103/S1066369X1203005X
Bibliographic databases:
Document Type: Article
UDC: 517.986
Language: Russian
Citation: A. V. Pechkurov, “Bisectorial operator pencils and the problem of bounded solutions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 3, 31–41; Russian Math. (Iz. VUZ), 56:3 (2012), 26–35
Citation in format AMSBIB
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\by A.~V.~Pechkurov
\paper Bisectorial operator pencils and the problem of bounded solutions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2012
\issue 3
\pages 31--41
\mathnet{http://mi.mathnet.ru/ivm8443}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3076516}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2012
\vol 56
\issue 3
\pages 26--35
\crossref{https://doi.org/10.3103/S1066369X1203005X}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84862678643}
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    • This publication is cited in the following 5 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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