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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 3, Pages 48–54 (Mi ivm9091)  
This article is cited in 2 scientific papers (total in 2 papers)

Spectral properties of boundary-value problem with a shift for wave equation

N. A. Yessirkegenovab, M. A. Sadybekovb

a Chair of Fundamental Mathematics, Al-Farabi Kazakh National University, 71 Al-Farabi ave., Almaty, 050040 Republic of Kazakhstan
b Institute of Mathematics and Mathematical Modeling, 125 Pushkin str., Almaty, 050010 Republic of Kazakhstan
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Abstract: We consider the differential operator given by the wave equation with potential in characteristic triangle and boundary conditions: with shift on the characteristics and oblique derivative on noncharacteristic boundary. We obtain condition for the Volterra property of problem. In remaining cases we show the completeness of the root functions. For cases when the potential depends on a single variable, we study questions of the basis (not basis) property for the system of root functions.
Keywords: wave equation, Riesz basis, regular boundary conditions, eigenvalues, root functions.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 0824/ГФ4
Received: 30.07.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 3, Pages 41–46
DOI: https://doi.org/10.3103/S1066369X16030051
Bibliographic databases:
Document Type: Article
UDC: 517.956
Language: Russian
Citation: N. A. Yessirkegenov, M. A. Sadybekov, “Spectral properties of boundary-value problem with a shift for wave equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 3, 48–54; Russian Math. (Iz. VUZ), 60:3 (2016), 41–46
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
     
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