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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2012, Number 9, Pages 32–46
(Mi ivm8736)
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This article is cited in 2 scientific papers (total in 2 papers)
A combined Tricomi problem and a problem with a shift for the Gellerstedt equation
Gulbakhor Mirsaburova Chair of Differential Equations and Geometry, Termez State University, Termez, Republic of Uzbekistan
Abstract:
We study a combined statement of the F. Tricomi problem and that with a shift by V. I. Zhegalov and A. M. Nakhushev for the Gellerstedt equation with a singular coefficient. We prove the uniqueness of its solution with the help of the extremum principle and do its existence by the method of integral equations.
Keywords:
uniqueness of a solution, F. Tricomi integral equation with a shift, Wiener–Hopf equation, index of equation.
Received: 23.05.2011
Citation:
Gulbakhor Mirsaburova, “A combined Tricomi problem and a problem with a shift for the Gellerstedt equation”, Izv. Vyssh. Uchebn. Zaved. Mat., 2012, no. 9, 32–46; Russian Math. (Iz. VUZ), 56:9 (2012), 25–38
Linking options:
https://www.mathnet.ru/eng/ivm8736 https://www.mathnet.ru/eng/ivm/y2012/i9/p32
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Abstract page: | 284 | Full-text PDF : | 80 | References: | 50 | First page: | 7 |
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