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.
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.
Singular Solutions to a (3 + 1)-D Protter-Morawetz Problem for Keldysh-Type Equations
Benchohra, "Upper and lower solutions method for impulsive partial hyperbolic differential equations with fractional order," Nonlinear Analysis: Hybrid Systems, vol.
On the General Solution of Impulsive Systems with Hadamard Fractional Derivatives
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.
Wavefronts and Rays as Characteristics and Asymptotics, 2nd Edition
Musa, Distribution of the zeros of the solutions of hyperbolic differential equations with maxima, Rocky Mountain J.
Some integral inequalities with maximum of the unknown functions
In this paper, we initiate the application of the method of upper and lower solutions for hyperbolic differential equations involving the Caputo fractional derivative.
Upper and lower solutions method for partial hyperbolic differential equations with Caputo's fractional derivative
Next, we consider the following hyperbolic differential equations
On a certain hyperbolic partial differential equation
Numerical solution of hyperbolic differential equations.
Numerical solution of hyperbolic differential equations
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