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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2021, Number 12, Pages 80–93
DOI: https://doi.org/10.26907/0021-3446-2021-12-80-93 (Mi ivm9738) 		 
A problem with local and nonlocal conditions on the boundary of the ellipticity domain for a mixed type equation

M. Mirsaburov, N. Kh. Khurramov

Termez State University, 43 Barkamol avlod str., Termez, 190111 Republic of Uzbekistan
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DOI: https://doi.org/10.26907/0021-3446-2021-12-80-93
Abstract: For the Gellerstedt equation with a singular coefficient in some mixed domain, when the ellipticity boundary coincides with the segment of the Oy axis and the normal curve of the equation, the problem with the Bitsadze–Samarskii conditions on the elliptic boundary and on the degeneration line is studied. The correctness of the formulated problem is proved.
Keywords: extremum principle, uniqueness of a solution, F. Tricomi singular integral equation, existence of a solution, kernel with a first-order singularity at an isolated singular point, Wiener–Hopf equation, index.
Received: 22.02.2021
Revised: 22.02.2021
Accepted: 29.06.2021
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2021, Volume 65, Issue 12, Pages 68–81
DOI: https://doi.org/10.3103/S1066369X21120070
Document Type: Article
UDC: 517.956
Language: Russian
Citation: M. Mirsaburov, N. Kh. Khurramov, “A problem with local and nonlocal conditions on the boundary of the ellipticity domain for a mixed type equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2021, no. 12, 80–93; Russian Math. (Iz. VUZ), 65:12 (2021), 68–81
Citation in format AMSBIB
\Bibitem{MirKhu21}
\by M.~Mirsaburov, N.~Kh.~Khurramov
\paper A problem with local and nonlocal conditions on the boundary of the ellipticity domain for a mixed type equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2021
\issue 12
\pages 80--93
\mathnet{http://mi.mathnet.ru/ivm9738}
\crossref{https://doi.org/10.26907/0021-3446-2021-12-80-93}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2021
\vol 65
\issue 12
\pages 68--81
\crossref{https://doi.org/10.3103/S1066369X21120070}
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    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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