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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2015, Number 5, Pages 75–79 (Mi ivm9002)  
This article is cited in 4 scientific papers (total in 4 papers)

Brief communications

On spectral properties of fourth order differential operator with periodic and semiperiodic boundary conditions

D. M. Polyakovab

a Research Institute of Mathematics, Voronezh State University, 1 Universitetskaya sq., Voronezh, 394006 Russia
b Chair of Nonlinear Oscillations, Voronezh State University, 1 Universitetskaya sq., Voronezh, 394006 Russia
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Abstract: With the use of similar operator method, in this paper we study spectral properties of fourth order differential operator with periodic and semiperiodic boundary conditions. We obtain asymptotic of a spectrum and estimates of spectral decompositions. We also construct a semigroup of operators which has the opposite differential operator as a generator.
Keywords: fourth order differential operator, method of similar operators, spectrum.
Presented by the member of Editorial Board: V. G. Zvyagin
Received: 16.10.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2015, Volume 59, Issue 5, Pages 64–68
DOI: https://doi.org/10.3103/S1066369X15050096
Bibliographic databases:
Document Type: Article
UDC: 517.19
Language: Russian
Citation: D. M. Polyakov, “On spectral properties of fourth order differential operator with periodic and semiperiodic boundary conditions”, Izv. Vyssh. Uchebn. Zaved. Mat., 2015, no. 5, 75–79; Russian Math. (Iz. VUZ), 59:5 (2015), 64–68
Citation in format AMSBIB
\Bibitem{Pol15}
\by D.~M.~Polyakov
\paper On spectral properties of fourth order differential operator with periodic and semiperiodic boundary conditions
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2015
\issue 5
\pages 75--79
\mathnet{http://mi.mathnet.ru/ivm9002}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2015
\vol 59
\issue 5
\pages 64--68
\crossref{https://doi.org/10.3103/S1066369X15050096}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84928609528}
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    • This publication is cited in the following 4 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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