Generalization of the Tricomi Problem


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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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