释义 |
hyperbolic differential equation hyperbolic differential equation[¦hī·pər¦bäl·ik ‚dif·ə¦ren·chəl i′kwā·zhən] (mathematics) A general type of second-order partial differential equation which includes the wave equation and has the form where the Aij , Bi , C, and F are suitably differentiable real functions of x1, x2, …, xn , and there exists at each point (x1, x2, …, xn ) a real linear transformation on the xi which reduces the quadratic form to a sum of n squares not all of the same sign. |