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Oscillations of the Solutions of Nonlinear Delay Hyperbolic Partial Differential Equations

Yang Xiang-hui

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Abstract

In this paper, oscillatory properties of solutions of certain hyperbolic partial differential equations with multi-delays are investigated and a series of sufficient conditions for oscillations of the equations are established. The results fully indicate that the oscillations are caused by delays.

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What this paper is about

In this paper, oscillatory properties of solutions of certain hyperbolic partial differential equations with multi-delays are investigated and a series of sufficient conditions for oscillations of the equations are established. The results fully indicate that the oscillations are caused by delays.

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Available abstract

In this paper, oscillatory properties of solutions of certain hyperbolic partial differential equations with multi-delays are investigated and a series of sufficient conditions for oscillations of the equations are established. The results fully indicate that the oscillations are caused by delays.

Key concepts: Mathematics, Hyperbolic partial differential equation, Nonlinear system, Method of characteristics, Mathematical analysis, Partial differential equation, First-order partial differential equation, Series (stratigraphy)

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