时间尺度上带超线性中立项的二阶时滞动力方程的振动性

Abstract

Abstract:

In this paper, the oscillation of second order delay dynamic equations with super-linear neutral terms on time scales is studied. By using Riccati transformation and Bernoulli inequality techniques, several new oscillation theorems for the equation are obtained. The corresponding results in the existing literature are generalized and improved, some of which are new even for differential equations. Finally, some examples are given to verify the validity of the theorems.

Key words: Oscillation, Super-linear neutral term, Second order, Delay dynamic equation, Time scale

CLC Number:

O175

Zhiyu Zhang,Cheng Zhao,Yuyu Li. Oscillation of Second Order Delay Dynamic Equations with Superlinear Neutral Terms on Time Scales[J].Acta mathematica scientia,Series A, 2021, 41(6): 1838-1852.

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References 25

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Oscillation of Second Order Delay Dynamic Equations with Superlinear Neutral Terms on Time Scales

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