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Vestnik KRAUNC. Fiziko-Matematicheskie Nauki, 2021, Volume 35, Number 2, Pages 27–39
DOI: https://doi.org/10.26117/2079-6641-2021-35-2-27-39 (Mi vkam472) 		 
MATHEMATICS

A boundary value problem for mixed type equation with singular coefficient

M. Kh. Ruzieva, F. S. Aktamovb

a Institute of Mathematics Uzbekistan Academy of Sciences
b Chirchik State Pedagogical Institute, Amir Temur avenue
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DOI: https://doi.org/10.26117/2079-6641-2021-35-2-27-39
Abstract: In this paper we study a boundary value problem for a mixed type equation in a domain whose elliptic part is the first quadrant of the plane and the hyperbolic part is the characteristic triangle. With the help of the method of integral equations and the principle of extremum we prove the unique solvability of the considered problem
Keywords: rinciple of extremum, unique solvability, solvability, singular coefficient, index of equation, integral equations.
Document Type: Article
UDC: 517.956
MSC: Primary 35M10; Secondary 35M12
Language: Russian
Citation: M. Kh. Ruziev, F. S. Aktamov, “A boundary value problem for mixed type equation with singular coefficient”, Vestnik KRAUNC. Fiz.-Mat. Nauki, 35:2 (2021), 27–39
Citation in format AMSBIB
\Bibitem{RuzAkt21}
\by M.~Kh.~Ruziev, F.~S.~Aktamov
\paper A boundary value problem for mixed type equation with singular coefficient
\jour Vestnik KRAUNC. Fiz.-Mat. Nauki
\yr 2021
\vol 35
\issue 2
\pages 27--39
\mathnet{http://mi.mathnet.ru/vkam472}
\crossref{https://doi.org/10.26117/2079-6641-2021-35-2-27-39}
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