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.

Keywords

• Parabolic-hyperbolic equation
• non-local condition
• Volterra integral equation