Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 138, pp. 1-5.

Title: Existence of solutions to non-local problems for parabolic-hyperbolic
       equations with three lines of type changing
        
Authors: Erkinjon T. Karimov  (National Univ. of Uzbekistan, Tashkent, Uzbekistan)
         Akmal I. Sotvoldiyev (National Univ. of Uzbekistan, Tashkent, Uzbekistan)

Abstract:
 In this work, we study a boundary problem with non-local conditions,
 by relating values of the unknown function with  various characteristics.
 The parabolic-hyperbolic equation with three lines of type changing
 is equivalently reduced to a system of Volterra integral equations of
 the second kind.

Submitted May 14, 2013. Published June 20, 2013.
Math Subject Classifications: 35M10.
Key Words: Parabolic-hyperbolic equation; non-local condition; 
           Volterra integral equation.