2001•Journal of Central China Normal UniversityRequires access

Oscillations of hyperbolic partial differential equations

U Zhong

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Abstract

In this paper,oscillatory properties of solutions of certain hyperbolic partial differential equations were investigated and a series of sufficient conditions for oscillations of the equations were established. The results fully indicate that the oscillations are caused by delay.This is one importantconclusion and hence,reveals the essential differences between the equations and those equations without delay.

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What this paper is about

In this paper,oscillatory properties of solutions of certain hyperbolic partial differential equations were investigated and a series of sufficient conditions for oscillations of the equations were established. The results fully indicate that the oscillations are caused by delay.This is one importantconclusion and hence,reveals the essential differences between the equations and those equations without delay.

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Available abstract

In this paper,oscillatory properties of solutions of certain hyperbolic partial differential equations were investigated and a series of sufficient conditions for oscillations of the equations were established. The results fully indicate that the oscillations are caused by delay.This is one importantconclusion and hence,reveals the essential differences between the equations and those equations without delay.

Key concepts: Hyperbolic partial differential equation, Method of characteristics, Mathematics, Mathematical analysis, First-order partial differential equation, Stochastic partial differential equation, Partial differential equation, Numerical partial differential equations

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