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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 4, Pages 32–45
(Mi ivm9102)
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This article is cited in 1 scientific paper (total in 1 paper)
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.
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
Linking options:
https://www.mathnet.ru/eng/ivm9102 https://www.mathnet.ru/eng/ivm/y2016/i4/p32
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Abstract page: | 135 | Full-text PDF : | 43 | References: | 61 | First page: | 21 |
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