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....
Main Author: | |
---|---|
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 |
_version_ | 1827303166802132992 |
---|---|
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. |
first_indexed | 2024-04-24T16:57:17Z |
format | Article |
id | doaj.art-5e5017a8ce8e4342ba4c827da83b49a8 |
institution | Directory Open Access Journal |
issn | 1008-9497 |
language | zho |
last_indexed | 2024-04-24T16:57:17Z |
publishDate | 2012-05-01 |
publisher | Zhejiang University Press |
record_format | Article |
series | Zhejiang Daxue xuebao. Lixue ban |
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 |
work_keys_str_mv | AT yangjiashanyángjiǎshān oscillationofsecondorderdampingdynamicequationontimescaleswithnonlinearneutraltermshíjiāncèdùliànshàngjùfēixiànxìngzhōnglìxiàngdeèrjiēzǔnídònglìfāngchéngdezhèndòngxìng |