Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2021, Number 5, Pages 31–39 (Mi vmumm4424)  
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

Keldysh type problem with an integral condition for two-dimensional $B$-hyperbolic equation

N. V. Zaitseva

Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
Full-text PDF (771 kB) Citations (2) English version article
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Abstract: In a rectangular domain, a nonlocal problem with insufficient boundary conditions and an integral condition of the first kind is studied for a two-dimensional hyperbolic equation with the Bessel operator. The uniqueness and existence theorems are proved for this problem by the method of spectral analysis. The solution to the problem is constructed in the form of a Fourier–Bessel series, the problem of small denominators is resolved. Estimates for the initial functions are obtained and the convergence of the series in the class of regular solutions is proved.
Key words: hyperbolic equation, Bessel operator, nonlocal problem, integral condition, Fourier–Bessel series.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
Received: 23.10.2020
English version:
Moscow University Mathematics Bulletin, 2021, Volume 76, Issue 5, Pages 221–229
DOI: https://doi.org/10.3103/S0027132221050077
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: N. V. Zaitseva, “Keldysh type problem with an integral condition for two-dimensional $B$-hyperbolic equation”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2021, no. 5, 31–39; Moscow University Mathematics Bulletin, 76:5 (2021), 221–229
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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