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.
References in periodicals archive ?
Morawetz, "Mixed equations and transonic flow," Journal of Hyperbolic Differential Equations, vol.
Shuxing, "A mixed equation of Tricomi-Keldysh type," Journal of Hyperbolic Differential Equations, vol.
Benchohra, "Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order," Nonlinear Analysis: Hybrid Systems, vol.
B na and Slawinski investigate the mathematics used to describe wavefronts and rays, which are intrinsic entities contained in hyperbolic differential equations and which they exemplify in the context of elasticity and electromagnetism.
Musa, Distribution of the zeros of the solutions of hyperbolic differential equations with maxima, Rocky Mountain J.
In this paper, we initiate the application of the method of upper and lower solutions for hyperbolic differential equations involving the Caputo fractional derivative.
Next, we consider the following hyperbolic differential equations
Numerical solution of hyperbolic differential equations.