Oscillation of second-order nonlinear delay neutral dynamic equations with damping term(具有阻尼项的二阶非线性时滞中立型动力方程的振动性)

研究了时间尺度上一类新的具有阻尼项的二阶非线性时滞中立型动力方程的振动性,基于时间尺度上的微积分理论、Riccati变换、H函数法和不等式技巧,得到了该方程振动的一些新的充分条件,推广了已有研究的结果,丰富了二阶时滞动力方程的振动性.最后,通过例子验证了相关结果....

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Main Authors: SUNYuhong(孙玉虹), LIDesheng(李德生), LIYushuang(李玉双)
Format: Article
Language:zho
Published: Zhejiang University Press 2018-03-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2018.02.001
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author SUNYuhong(孙玉虹)
LIDesheng(李德生)
LIYushuang(李玉双)
author_facet SUNYuhong(孙玉虹)
LIDesheng(李德生)
LIYushuang(李玉双)
author_sort SUNYuhong(孙玉虹)
collection DOAJ
description 研究了时间尺度上一类新的具有阻尼项的二阶非线性时滞中立型动力方程的振动性,基于时间尺度上的微积分理论、Riccati变换、H函数法和不等式技巧,得到了该方程振动的一些新的充分条件,推广了已有研究的结果,丰富了二阶时滞动力方程的振动性.最后,通过例子验证了相关结果.
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spelling doaj.art-b092537cd88f4b9d9fa86161c8726fe52024-03-29T01:58:37ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972018-03-0145213113510.3785/j.issn.1008-9497.2018.02.001Oscillation of second-order nonlinear delay neutral dynamic equations with damping term(具有阻尼项的二阶非线性时滞中立型动力方程的振动性)SUNYuhong(孙玉虹)0https://orcid.org/0000-0002-6226-4736LIDesheng(李德生)1LIYushuang(李玉双)2Shool of Science, Yanshan University, Qinhuangdao 066000, Hebei Province, China(燕山大学理学院,河北 秦皇岛 066000)Shool of Science, Yanshan University, Qinhuangdao 066000, Hebei Province, China(燕山大学理学院,河北 秦皇岛 066000)Shool of Science, Yanshan University, Qinhuangdao 066000, Hebei Province, China(燕山大学理学院,河北 秦皇岛 066000)研究了时间尺度上一类新的具有阻尼项的二阶非线性时滞中立型动力方程的振动性,基于时间尺度上的微积分理论、Riccati变换、H函数法和不等式技巧,得到了该方程振动的一些新的充分条件,推广了已有研究的结果,丰富了二阶时滞动力方程的振动性.最后,通过例子验证了相关结果.https://doi.org/10.3785/j.issn.1008-9497.2018.02.001时间尺度阻尼项中立项振动性时滞动力方程
spellingShingle SUNYuhong(孙玉虹)
LIDesheng(李德生)
LIYushuang(李玉双)
Oscillation of second-order nonlinear delay neutral dynamic equations with damping term(具有阻尼项的二阶非线性时滞中立型动力方程的振动性)
Zhejiang Daxue xuebao. Lixue ban
时间尺度
阻尼项
中立项
振动性
时滞动力方程
title Oscillation of second-order nonlinear delay neutral dynamic equations with damping term(具有阻尼项的二阶非线性时滞中立型动力方程的振动性)
title_full Oscillation of second-order nonlinear delay neutral dynamic equations with damping term(具有阻尼项的二阶非线性时滞中立型动力方程的振动性)
title_fullStr Oscillation of second-order nonlinear delay neutral dynamic equations with damping term(具有阻尼项的二阶非线性时滞中立型动力方程的振动性)
title_full_unstemmed Oscillation of second-order nonlinear delay neutral dynamic equations with damping term(具有阻尼项的二阶非线性时滞中立型动力方程的振动性)
title_short Oscillation of second-order nonlinear delay neutral dynamic equations with damping term(具有阻尼项的二阶非线性时滞中立型动力方程的振动性)
title_sort oscillation of second order nonlinear delay neutral dynamic equations with damping term 具有阻尼项的二阶非线性时滞中立型动力方程的振动性
topic 时间尺度
阻尼项
中立项
振动性
时滞动力方程
url https://doi.org/10.3785/j.issn.1008-9497.2018.02.001
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