一类具阻尼项的三阶非线性中立型泛函微分方程的振动性和渐近性

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摘要

研究一类具阻尼项的三阶非线性中立型连续分布时滞泛函微分方程解的振动性和渐近性，利用广义Riccati变换、积分平均技巧和一些分析技巧，对α≠β的情况，建立了一组保证该方程每一解振动或者收敛到零的充分条件，所得结果改进和推广了最新文献中的一些熟知的准则。

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	曾云辉1
	2
	罗李平1
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	汪志红1
	汪安宁1
	俞元洪3

关键词 ：阻尼项, 渐近性, 三阶中立型微分方程, 广义Riccati变换

Abstract：

The objective of this paper is to investigates oscillatory and asymptotic behaviors of solutions of a class of third-order nonlinear neutral differential equations with continuously delay and damping terms. By using generalized Riccati transformations, integral averaging technique and some necessary technique, a set of new sufficient conditions was set for α≠β which ensure that every solution of the equations oscillates or converges to zero. The results improve and extend related criteria in recent literature.

Key words： damping terms asymptotic behavior third-order neutral differential equation generalized Riccati transformation

收稿日期: 2019-08-20 出版日期: 2021-04-28

引用本文:

曾云辉1,2，罗李平1,2，汪志红1，汪安宁1，俞元洪3. 一类具阻尼项的三阶非线性中立型泛函微分方程的振动性和渐近性[J]. 振动与冲击, 2021, 40(8): 19-27.
ZENG Yunhui1,2，LUO Liping1,2，WANG Zhihong1，WANG Anning1，YU Yuanhong3. Oscillatory and asymptotic behavior of third-order nonlinear neutral functional differential equations with damping terms. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(8): 19-27.

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http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2021/V40/I8/19

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