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.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.