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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 10, Pages 36–40
(Mi ivm9162)
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This article is cited in 3 scientific papers (total in 3 papers)
On a generalization of Bitsadze–Samarskii equation for mixed type equation
M. Mirsaburov, I. N. Khairullaev, U. E. Bobomurodov Termez State University, 43 F. Khodzhaev str., Termez, 190111 Republic of Uzbekistan
Abstract:
For mixed type equation we study a problem with Bitsadze–Samarskii conditions on boundary characteristic on special inner curve and on a segment of degeneration. 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 its existence.
Keywords:
Bitsadze–Samarskii condition, functional equation, Tricomi type integral equation, index.
Received: 15.03.2015 Revised: 20.05.2016
Citation:
M. Mirsaburov, I. N. Khairullaev, U. E. Bobomurodov, “On a generalization of Bitsadze–Samarskii equation for mixed type equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 10, 36–40; Russian Math. (Iz. VUZ), 60:10 (2016), 29–32
Linking options:
https://www.mathnet.ru/eng/ivm9162 https://www.mathnet.ru/eng/ivm/y2016/i10/p36
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Abstract page: | 174 | Full-text PDF : | 59 | References: | 37 | First page: | 7 |
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