Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 07, pp. 1-6.

Title: Non-local problems for parabolic-hyperbolic equations
       with deviation from the characteristics and three
       type-changing lines

Authors: Abdumauvlen S. Berdyshev (Kazakh National Pedag. Univ., Kazakhstan)
         Nilufar A. Rakhmatullaeva (Uzbek Academy of Sciences, Uzbekistan)

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.