Abdumauvlen S. Berdyshev, Nilufar A. Rakhmatullaeva
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.
Show me the PDF file (171 KB), TEX file, and other files for this article.
| Abdumauvlen Suleymanovich Berdyshev |
Kazakh National Pedagogical University
named later Abaj, 050062 Almaty, Kazakhstan
| Nilufar Alisherovna Rakhmatullaeva |
Institute of Mathematics and Information Technologies
Uzbek Academy of Sciences
100125 Tashkent, Uzbekistan
Return to the EJDE web page