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This article is cited in 8 scientific papers (total in 8 papers)
A problem with displacement on internal characteristics in an unbounded domain for the Gellerstedt equation with a singular coefficient
U. M. Mirsaburova Termez State University, 43 Barkamol avlod str., Termez, 190111 Republic of Uzbekistan
Abstract:
In an unbounded domain, for the Gellerstedt equation with a singular coefficient, uniqueness and existence theorems for the solution of a problem with displacement condition on the internal characteristics and a condition like the Frankl condition on the degeneration segment of the equation are proved.
Keywords:
unbounded domain, displacement conditions on internal characteristics, Tricomi singular integral equation with displacement in the "nonsingular", part of the kernel, non-Fredholm operator in the non-characteristic part of the equation, Wiener-Hopf equation, residue, index.
Received: 01.10.2021 Revised: 16.11.2021 Accepted: 23.12.2021
Citation:
U. M. Mirsaburova, “A problem with displacement on internal characteristics in an unbounded domain for the Gellerstedt equation with a singular coefficient”, Izv. Vyssh. Uchebn. Zaved. Mat., 2022, no. 9, 70–82; Russian Math. (Iz. VUZ), 66:9 (2022), 58–70
Linking options:
https://www.mathnet.ru/eng/ivm9813 https://www.mathnet.ru/eng/ivm/y2022/i9/p70
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Abstract page: | 101 | Full-text PDF : | 41 | References: | 23 | First page: | 7 |
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