The analogue of DAlembert formula for hyperbolic differential equation of the third order with nonmultiple characteristics

Abstract

The Cauchy problem for the third order hyperbolic differential equation with nonmultiple characteristics is considered. The analogue of DAlembert formula is obtained as a solution that allows describing the propagation of initial displacement, initial velocity and initial acceleration.

Keywords

• hyperbolic differential equation of the third order
• nonmultiple characteristics
• cauchy problem
• d'alembert formula