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Izv. Vyssh. Uchebn. Zaved. Mat., 2016, Number 4, Pages 32–45 (Mi ivm9102)  

On a problem with three variants of shift conditions for mixed type equation

M. Mirsaburov, S. T. Chorieva

Termez State University, 43 F. Khodzhaev str., Termez, 190111 Republic of Uzbekistan

Abstract: For mixed type equation we study a problem where shift conditions are given in inner characteristic, on degeneration line, and on the boundary of elliptic domain. With the help of the maximum principle we prove uniqueness of a solution to the problem, and with the help of the method of integral equations we prove the existence of a solution to the problem.

Keywords: singular coefficient, internal characteristics, Wiener–Hopf equation, index equation.

Full text: PDF file (227 kB)
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English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, 60:4, 25–36

Bibliographic databases:

UDC: 517.956
Received: 23.09.2014

Citation: M. Mirsaburov, S. T. Chorieva, “On a problem with three variants of shift conditions for mixed type equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 4, 32–45; Russian Math. (Iz. VUZ), 60:4 (2016), 25–36

Citation in format AMSBIB
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\by M.~Mirsaburov, S.~T.~Chorieva
\paper On a~problem with three variants of shift conditions for mixed type equation
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2016
\issue 4
\pages 32--45
\mathnet{http://mi.mathnet.ru/ivm9102}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2016
\vol 60
\issue 4
\pages 25--36
\crossref{https://doi.org/10.3103/S1066369X16040058}
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  • Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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