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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, Number 3, Pages 37–50 (Mi ivm9215)  
This article is cited in 7 scientific papers (total in 7 papers)

A.A. Dezin's problem for inhomogeneous Lavrent'ev–Bitsadze equation

K. B. Sabitov, V. A. Gushchina (Novikova)

Samara State University of Social Sciences and Education, 65/67 Gor’kogo str., Samara, 443090 Russia
Full-text PDF (235 kB) Citations (7)
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Abstract: We establish a criterion for the uniqueness of a solution to nonlocal Dezin's problem for an equation of mixed elliptic-hyperbolic type. The solution is constructed in the form of a sum of a series in eigenfunctions of the corresponding one-dimensional spectral problem. In substantiation of the convergence of series a problem of small denominators arizes. Under certain specified conditions with respect to given pagameters and functions we prove the convergence of constructed series in a class of regular solutions.
Keywords: inhomogeneous equation of mixed type, nonlocal problem, inhomogeneous boundary condition, spectral method, uniqueness, existence, series.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-00421_мол_а
Received: 14.09.2015
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2017, Volume 61, Issue 3, Pages 31–43
DOI: https://doi.org/10.3103/S1066369X17030045
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: K. B. Sabitov, V. A. Gushchina (Novikova), “A.A. Dezin's problem for inhomogeneous Lavrent'ev–Bitsadze equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 3, 37–50; Russian Math. (Iz. VUZ), 61:3 (2017), 31–43
Citation in format AMSBIB
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\issue 3
\pages 37--50
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  • https://www.mathnet.ru/eng/ivm/y2017/i3/p37
    • This publication is cited in the following 7 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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    References:34
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