带阻尼项的二阶非线性中立型Emden-Fowler微分方程的振动准则

Abstract

Abstract:

In this paper, by using the methods of exponential function transformation, Riccati transformation and inequality techniques, we study the oscillation behavior for a class of second order nonlinear neutral delay Emden-Fowler differential equations with the most extensive and physically meaningful damping term. Several new oscillation theorems which extend and improve some known results in the literature recently are established and some examples are provided to illustrate the relevance of new theorems.

Key words: Oscillation criteria, Emden-Fowler equation, Neutral, Nonlinear differential equation, Damping term

CLC Number:

O175

Zhiyu Zhang,Feifei Song,Tongxing Li,Yuanhong Yu. Oscillation Criteria of Second Order Nonlinear Neutral Emden-Fowler Differential Equations with Damping[J].Acta mathematica scientia,Series A, 2020, 40(4): 934-946.

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Oscillation Criteria of Second Order Nonlinear Neutral Emden-Fowler Differential Equations with Damping

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