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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2022, Number 7, Pages 18–29
DOI: https://doi.org/10.26907/0021-3446-2022-7-18-29 (Mi ivm9790) 		 
This article is cited in 1 scientific paper (total in 1 paper)

A boundary value problem for a mixed type equation with singular coefficients

M. Kh. Ruziev

Institute of Mathematics Uzbekistan Academy of Sciences, 4b University str., Tashkent, 100174 Republic of Uzbekistan
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DOI: https://doi.org/10.26907/0021-3446-2022-7-18-29
Abstract: In this paper we investigate a boundary value problem with the Frankl and Bitsadze-Samarskii condition on the degeneration line and on parallel characteristics for a mixed-type equation with singular coefficients. The uniqueness of the solution to the problem is proved using the extremum principle. The theory of singular integral equations and Fredholm integral equations are used to prove the existence of a solution to the problem.
Keywords: extremum principle, uniqueness of a solution, existence of a solution, integral equations, isolated singularity of the first order, index of an equation.
Received: 10.09.2021
Revised: 10.09.2021
Accepted: 08.04.2022
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2022, Volume 66, Issue 7, Pages 14–24
DOI: https://doi.org/10.3103/S1066369X22070076
Document Type: Article
UDC: 517.956
Language: Russian
Citation: M. Kh. Ruziev, “A boundary value problem for a mixed type equation with singular coefficients”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 7, 18–29; Russian Math. (Iz. VUZ), 66:7 (2022), 14–24
Citation in format AMSBIB
\Bibitem{Ruz22}
\by M.~Kh.~Ruziev
\paper A boundary value problem for a mixed type equation with singular coefficients
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2022
\issue 7
\pages 18--29
\mathnet{http://mi.mathnet.ru/ivm9790}
\crossref{https://doi.org/10.26907/0021-3446-2022-7-18-29}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2022
\vol 66
\issue 7
\pages 14--24
\crossref{https://doi.org/10.3103/S1066369X22070076}
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    • This publication is cited in the following 1 articles:
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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