高阶线性时滞微分方程的广义振动性

Abstract

Abstract:

In this paper, we study the generic oscillation and generic nonoscillation of higher order delay differential equation

y⁽ⁿ⁾(t) + py′(t) + qy(t-τ)=0.

We provide sufficient conditions for generic oscillation and generic nonoscillation of this kind of equation.

Key words: Generic oscillation, Generic nonoscillation, Leading root.

CLC Number:

34K15

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Feng Wei Duan Yongrui Yan Jurang. Genric Oscillation of Higher Order Delay Differential Equation[J].Acta mathematica scientia,Series A, 2000, 20(4): 499-505.

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Genric Oscillation of Higher Order Delay Differential Equation

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[1]	ZHANG Chi, WANG Quan-Xi. The Existence of Periodic Solutions for a Kind of Second Order Functional Differential Equations with Deviating Arguments [J]. Acta mathematica scientia,Series A, 2009, 29(2): 253-261.
[2]	Zhou Yong Feng Binlu Yu Yuanhong. On the Oscillation of Solutions of Differential Equations with Deviating Argument [J]. Acta mathematica scientia,Series A, 1999, 19(5): 579-583.