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Sibirskii Zhurnal Industrial'noi Matematiki, 2022, Volume 25, Number 3, Pages 93–103
DOI: https://doi.org/10.33048/SIBJIM.2021.25.309 (Mi sjim1185) 		 
On a boundary value problem for a third-order equation of parabolic-hyperbolic type in a triangular domain with three lines of change of the equation type

M. Mamajonova, H. M. Shermatovab

a Kokand State Pedagogical Institute named Mukimi, ul. Turon 23, Kokand 150700, Uzbekistan
b Fergana State University, ul. Murabbiylar 19, Fergana 150100, Uzbekistan
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DOI: https://doi.org/10.33048/SIBJIM.2021.25.309
Abstract: We consider one boundary value problem for a parabolic-hyperbolic type equation in a triangular domain with three lines of type change, when the characteristic of the first-order operator is parallel to the axis $y$. The theorem of existence and uniqueness of the solution of the formulated problem is proved.
Keywords: differential and integral equations, solution construction method, boundary value problem, parabolic-hyperbolic type equation, unique solvability. .
Received: 13.01.2022
Revised: 03.03.2022
Accepted: 22.06.2022
Document Type: Article
UDC: 517.956.6
Language: Russian
Citation: M. Mamajonov, H. M. Shermatova, “On a boundary value problem for a third-order equation of parabolic-hyperbolic type in a triangular domain with three lines of change of the equation type”, Sib. Zh. Ind. Mat., 25:3 (2022), 93–103
Citation in format AMSBIB
\Bibitem{MamShe22}
\by M.~Mamajonov, H.~M.~Shermatova
\paper On a boundary value problem for a third-order equation of parabolic-hyperbolic type
in a triangular domain with three lines of change of the equation type
\jour Sib. Zh. Ind. Mat.
\yr 2022
\vol 25
\issue 3
\pages 93--103
\mathnet{http://mi.mathnet.ru/sjim1185}
\crossref{https://doi.org/10.33048/SIBJIM.2021.25.309}
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