二阶非线性中立型时滞微分方程的振动性

Abstract

Abstract:

In this paper, the oscillatory behavior of solutions to a nonlinear second-order neutral differential equation is to study. Using double Riccati transformation and the technique of inequations, some new sufficient conditions are obtained for the solutions of all oscillations and the results generalize, improve and unify the oscillation theorems of half linear functional differential equations, nonlinear equations and generalized Emden-Fowler type equations in the literature recently. At last, some examples are given to illustrate the effectiveness of our results.

Key words: Second order nonlinear differential equation, Half linear differential equation, Emden-Fowler equation, Neutral, Riccati transformation, Oscillation criterion

CLC Number:

O175

Zhiyu Zhang,Yuanhong Yu,Shuping Li,Shizhu Qiao. Oscillation of Second Order Nonlinear Differential Equations with Neutral Delay[J].Acta mathematica scientia,Series A, 2019, 39(4): 797-811.

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References 27

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Oscillation of Second Order Nonlinear Differential Equations with Neutral Delay

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