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2002•Acta Scientiarum Naturalium Universitatis SunyatseniRequires access

OSCILLATORY PROPERTIES OF THE SOLUTIONS OF NONLINEAR DELAY HYPERBOLIC DIFFERENTIAL EQUATIONS OF NEUTRAL TYPE

Liu Liu, Anping, He, Meng-xing

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Abstract

By making use of the integral inequalities and some results of the functional differential equations, oscillatory properties of solutions of certain nonlinear hyperbolic partial differential equations of neutral type with multi-delays 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 and hence reveal the difference between these equations and those equations without delay.

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What this paper is about

By making use of the integral inequalities and some results of the functional differential equations, oscillatory properties of solutions of certain nonlinear hyperbolic partial differential equations of neutral type with multi-delays 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 and hence reveal the difference between these equations and those equations without delay.

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Available abstract

By making use of the integral inequalities and some results of the functional differential equations, oscillatory properties of solutions of certain nonlinear hyperbolic partial differential equations of neutral type with multi-delays 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 and hence reveal the difference between these equations and those equations without delay.

Key concepts: Nonlinear system, Mathematics, Hyperbolic partial differential equation, Delay differential equation, Mathematical analysis, Method of characteristics, Type (biology), Differential equation

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