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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 3, Pages 380–390
DOI: https://doi.org/10.1134/S0044466919030050 (Mi zvmmf10859) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Classical and generalized solutions of a mixed problem for a system of first-order equations with a continuous potential

M. Sh. Burlutskaya

Voronezh State University, Voronezh, 394006 Russia
Citations (8)
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DOI: https://doi.org/10.1134/S0044466919030050
Abstract: A mixed problem for a first-order differential system with two independent variables and a continuous potential, the corresponding spectral problem for which is the Dirac system, is studied. Using a special transformation of the formal solution and refined asymptotics of the eigenfunctions, the classical solution of the problem is obtained. No excessive conditions on the smoothness of the initial data are imposed. In the case of an arbitrary square summable function, a generalized solution is obtained.
Key words: Fourier method, mixed problem, Dirac system.
Funding agency Grant number
Russian Science Foundation 16-11-10125
This work was supported by the Russian Science Foundation, project no. 16-11-10125.
Received: 02.05.2018
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 3, Pages 355–365
DOI: https://doi.org/10.1134/S0965542519030059
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: M. Sh. Burlutskaya, “Classical and generalized solutions of a mixed problem for a system of first-order equations with a continuous potential”, Zh. Vychisl. Mat. Mat. Fiz., 59:3 (2019), 380–390; Comput. Math. Math. Phys., 59:3 (2019), 355–365
Citation in format AMSBIB
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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