Generalization of the Tricomi Problem
- Authors: Mirsaburov M.1, Begaliev O.1, Khurramov N.K.1
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Affiliations:
- Termez State University
- Issue: Vol 55, No 8 (2019)
- Pages: 1084-1093
- Section: Partial Differential Equations
- URL: https://journals.rcsi.science/0012-2661/article/view/155129
- DOI: https://doi.org/10.1134/S0012266119080093
- ID: 155129
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Abstract
For the equation (sgn y)|y|muxx + uyy +(β0/y)uy = 0 in a mixed domain, we prove existence and uniqueness theorems for a solution of the problem with the Tricomi condition on part of the boundary characteristic and the Gellerstedt condition on an internal characteristic parallel to it.
About the authors
M. Mirsaburov
Termez State University
Author for correspondence.
Email: mirsaburov@mail.ru
Uzbekistan, Termez, Surkhandar’inskaya oblast, 190100
O. Begaliev
Termez State University
Email: nxurramov22@mail.ru
Uzbekistan, Termez, Surkhandar’inskaya oblast, 190100
N. Kh. Khurramov
Termez State University
Author for correspondence.
Email: nxurramov22@mail.ru
Uzbekistan, Termez, Surkhandar’inskaya oblast, 190100
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