The Cauchy problem for a system of the hyperbolic differential equations of the n-th order with the nonmultiple characteristics

Abstract

In the paper the Cauchy problem is considered for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics. The regular solution of the Cauchy problem for the hyperbolic differential equation of the n-th order with the nonmultiple characteristics is considered. In the paper the solution of the Cauchy problem for the system of the hyperbolic differential equations of the n-th order with the nonmultiple characteristics is considered. The existence and uniqueness theorem for the regular solution of the Cauchy problem for the system of the hyperbolic differential equations of the n-th order with the nonmultiple characteristics is considered as the result of the research.

Keywords

• n-th order hyperbolic differential equation
• system of the hyperbolic differential equations of the n-th order
• nonmultiple characteristics
• method of the general solutions
• cauchy problem
• d’alembert formula