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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 9, Pages 13–29 (Mi ivm9275)  
This article is cited in 6 scientific papers (total in 6 papers)

On one boundary-value problem for an equation of higher even order

B. Yu. Irgashev

Namangan engineering-pedagogical institute, 12 Dustilik Ave., Namangan, 716003 Republic of Uzbekistan
Full-text PDF (247 kB) Citations (6)
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Abstract: We study boundary-value problem for an equation of even order in a rectangle domain. By spectral method we obtain necessary and sufficient conditions of uniqueness of a solution. The solution is constructed in the form of infinite series in eigenfunctions. We obtain sufficient conditions under which this series is a regular solution.
Keywords: differential equation, even oder, boundary-value problem, spectral method, uniqueness, existence, series, uniform convergence.
Received: 21.04.2016
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 9, Pages 10–26
DOI: https://doi.org/10.3103/S1066369X1709002X
Bibliographic databases:
Document Type: Article
UDC: 517.953
Language: Russian
Citation: B. Yu. Irgashev, “On one boundary-value problem for an equation of higher even order”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 9, 13–29; Russian Math. (Iz. VUZ), 61:9 (2017), 10–26
Citation in format AMSBIB
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\by B.~Yu.~Irgashev
\paper On one boundary-value problem for an equation of higher even order
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2017
\issue 9
\pages 13--29
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\jour Russian Math. (Iz. VUZ)
\yr 2017
\vol 61
\issue 9
\pages 10--26
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    • This publication is cited in the following 6 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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