The characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics

Abstract

We consider the well-posed characteristic problem for the system of the general hyperbolic differential equations of the third order with nonmultiple characteristics. The solution of this problem is constructed in an explicit form. The example of the analogue of Goursat problem for a particular system of the hyperbolic differential equations of the third order is given.

Keywords

• system of the general hyperbolic differential equations
• nonmultiple characteristics
• characteristic problem
• hadamard's well-posedness