Electronic Journal of Differential Equations (Jun 2013)
Existence of solutions to non-local problems for parabolic-hyperbolic equations with three lines of type changing
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.