Abdumauvlen S. Berdyshev, Nilufar A. Rakhmatullaeva
Abstract:
We prove the existence and uniqueness of solutions
for a partial differential equations of mixed type
(parabolic-hyperbolic type).
We use energy integrals and methods from integral equations
to study a problem that has deviation from the characteristics
and three lines where the type changes.
Submitted November 18, 2010. Published January 15, 2011.
Math Subject Classifications: 35M10.
Key Words: Parabolic-hyperbolic equation; deviation; type-changing line;
integral equations.
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Abdumauvlen Suleymanovich Berdyshev Kazakh National Pedagogical University named later Abaj, 050062 Almaty, Kazakhstan email: berdyshev@mail.ru |
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Nilufar Alisherovna Rakhmatullaeva Institute of Mathematics and Information Technologies Uzbek Academy of Sciences 100125 Tashkent, Uzbekistan email: rakhmatullaeva@mail.ru |
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