EXISTENCE OF SOLUTIONS TO NON-LOCAL PROBLEMS FOR PARABOLIC-HYPERBOLIC EQUATIONS WITH THREE LINES OF TYPE CHANGING.

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. [ABSTRACT FROM AUTHOR]