hyperbolic differential equation

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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 formwhere theA_ij,B_i,C, andFare suitably differentiable real functions ofx₁,x₂, …,x_n, and there exists at each point (x₁,x₂, …,x_n) a real linear transformation on thex_iwhich reduces the quadratic formto a sum ofnsquares not all of the same sign.

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No references found			Next, we consider the following hyperbolic differential equations [D. On a certain hyperbolic partial differential equation by Pachpatte, B.G. / Tamsui Oxford Journal of Mathematical Sciences 9781604564594 Numerical solution of hyperbolic differential equations. Numerical solution of hyperbolic differential equations by SciTech Book News			hyperacid hyperacoustic zone hyperactive hyperactivity hyperacusia hyperadrenalism hyperadrenocorticism hyperaldosteronism hyperalgesia hyperbaric hyperbaric chamber hyperbaric medicine Hyperbaric Oxygenation HyperBase hyperbilirubinemia Hyperbola Hyperbole hyperbolic hyperbolic amplitude hyperbolic antenna hyperbolic cosecant hyperbolic cosine hyperbolic cotangent hyperbolic cylinder hyperbolic decline hyperbolic differential equation hyperbolic distance hyperbolic Dovap hyperbolic fix hyperbolic flareout hyperbolic form hyperbolic function Hyperbolic Functions hyperbolic geometry hyperbolic guidance hyperbolic horn hyperbolic line of position hyperbolic logarithm hyperbolic navigation hyperbolic orbit hyperbolic paraboloid hyperbolic paraboloid roof hyperbolic plane hyperbolic point hyperbolic Riemann surface hyperbolic secant hyperbolic sine hyperbolic space hyperbolic spiral hyperbolic sweep generator hyperbolic tangent			hyperbole hyperbole hyperbole hyperboles hyperboles hyperboles hyperbolic hyperbolic hyperbolic hyperbolic Hyperbolic 3-space hyperbolic amplitude HYperbolic and Kinetic Equations hyperbolic antenna Hyperbolic Area Coverage System Hyperbolic Congruence Hyperbolic Congruence Frequency Hopping Hyperbolic cosecant Hyperbolic cosecant Hyperbolic cosecant Hyperbolic cosine Hyperbolic cosine Hyperbolic cosine Hyperbolic cotangent Hyperbolic cotangent Hyperbolic cotangent Hyperbolic curve Hyperbolic curve hyperbolic cylinder hyperbolic decline hyperbolic differential equation hyperbolic distance hyperbolic Dovap hyperbolic fix hyperbolic flareout hyperbolic form hyperbolic function hyperbolic function Hyperbolic functions Hyperbolic functions hyperbolic geometry hyperbolic geometry hyperbolic guidance Hyperbolic Horn Hyperbolic Horn Hyperbolic In-Air Tracking System Hyperbolic inverse functions hyperbolic line of position Hyperbolic logarithm Hyperbolic logarithm Hyperbolic logarithm Hyperbolic map Hyperbolic map Hyperbolic Multi-Dimensional Scaling hyperbolic navigation hyperbolic navigation system Hyperbolic orbit hyperbolic paraboloid hyperbolic paraboloid hyperbolic paraboloid roof Hyperbolic plane

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