Oscillation of second-order damping dynamic equation on time scales with nonlinear neutral term(时间测度链上具非线性中立项的二阶阻尼动力方程的振动性)

研究了时间测度链上的一类具有非线性中立项和阻尼项的二阶非线性变时滞动力方程的振动性.通过引入参数函数和广义的Riccati变换,并借助时间测度链上的有关理论,得到了该类方程振动的几个充分条件.所得结果推广和改进了现有文献中相应的结果....

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Main Author: YANGJia-shan(杨甲山)
Format: Article
Language:zho
Published: Zhejiang University Press 2012-05-01
Series:Zhejiang Daxue xuebao. Lixue ban
Subjects:
Online Access:https://doi.org/10.3785/j.issn.1008-9497.2012.03.005
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author YANGJia-shan(杨甲山)
author_facet YANGJia-shan(杨甲山)
author_sort YANGJia-shan(杨甲山)
collection DOAJ
description 研究了时间测度链上的一类具有非线性中立项和阻尼项的二阶非线性变时滞动力方程的振动性.通过引入参数函数和广义的Riccati变换,并借助时间测度链上的有关理论,得到了该类方程振动的几个充分条件.所得结果推广和改进了现有文献中相应的结果.
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spelling doaj.art-5e5017a8ce8e4342ba4c827da83b49a82024-03-29T01:58:30ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972012-05-0139326126510.3785/j.issn.1008-9497.2012.03.005Oscillation of second-order damping dynamic equation on time scales with nonlinear neutral term(时间测度链上具非线性中立项的二阶阻尼动力方程的振动性)YANGJia-shan(杨甲山)0Department of Science and Information, Shaoyang University, Shaoyang 422004, Hunan Province, China(邵阳学院理学与信息科学系,湖南 邵阳 422004)研究了时间测度链上的一类具有非线性中立项和阻尼项的二阶非线性变时滞动力方程的振动性.通过引入参数函数和广义的Riccati变换,并借助时间测度链上的有关理论,得到了该类方程振动的几个充分条件.所得结果推广和改进了现有文献中相应的结果.https://doi.org/10.3785/j.issn.1008-9497.2012.03.005时间测度链动力方程非线性中立项阻尼项riccati变换振动性
spellingShingle YANGJia-shan(杨甲山)
Oscillation of second-order damping dynamic equation on time scales with nonlinear neutral term(时间测度链上具非线性中立项的二阶阻尼动力方程的振动性)
Zhejiang Daxue xuebao. Lixue ban
时间测度链
动力方程
非线性中立项
阻尼项
riccati变换
振动性
title Oscillation of second-order damping dynamic equation on time scales with nonlinear neutral term(时间测度链上具非线性中立项的二阶阻尼动力方程的振动性)
title_full Oscillation of second-order damping dynamic equation on time scales with nonlinear neutral term(时间测度链上具非线性中立项的二阶阻尼动力方程的振动性)
title_fullStr Oscillation of second-order damping dynamic equation on time scales with nonlinear neutral term(时间测度链上具非线性中立项的二阶阻尼动力方程的振动性)
title_full_unstemmed Oscillation of second-order damping dynamic equation on time scales with nonlinear neutral term(时间测度链上具非线性中立项的二阶阻尼动力方程的振动性)
title_short Oscillation of second-order damping dynamic equation on time scales with nonlinear neutral term(时间测度链上具非线性中立项的二阶阻尼动力方程的振动性)
title_sort oscillation of second order damping dynamic equation on time scales with nonlinear neutral term 时间测度链上具非线性中立项的二阶阻尼动力方程的振动性
topic 时间测度链
动力方程
非线性中立项
阻尼项
riccati变换
振动性
url https://doi.org/10.3785/j.issn.1008-9497.2012.03.005
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