New oscillatory conditions of a class of the second-order Emden-Fowler differential equations(一类二阶Emden-Fowler 型微分方程的若干振动条件)
利用Riccati 变换技术，借助Bernoulli 不等式和Yang 不等式以及数学分析技巧，研究了具有非线性中立项的二阶广义Emden-Fowler 型微分方程的振动性，考虑非正则情形，建立了该方程的若干振动准则。最后用2 个例子说明，这些准则推广并改进了一些已有的结果，且具有较好的实用性和可操作性。...
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| Format: | Article |
| Language: | zho |
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Zhejiang University Press
2019-05-01
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| Series: | Zhejiang Daxue xuebao. Lixue ban |
| Subjects: | |
| Online Access: | https://doi.org/10.3785/j.issn.1008-9497.2019.03.006 |
| _version_ | 1797235704046026752 |
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| author | YANGJiashan(杨甲山) QINGuijiang(覃桂茳) QINXuewen(覃学文) ZHAOChunru(赵春茹) |
| author_facet | YANGJiashan(杨甲山) QINGuijiang(覃桂茳) QINXuewen(覃学文) ZHAOChunru(赵春茹) |
| author_sort | YANGJiashan(杨甲山) |
| collection | DOAJ |
| description | 利用Riccati 变换技术，借助Bernoulli 不等式和Yang 不等式以及数学分析技巧，研究了具有非线性中立项的二阶广义Emden-Fowler 型微分方程的振动性，考虑非正则情形，建立了该方程的若干振动准则。最后用2 个例子说明，这些准则推广并改进了一些已有的结果，且具有较好的实用性和可操作性。 |
| first_indexed | 2024-04-24T16:52:11Z |
| format | Article |
| id | doaj.art-965460341a8e451ea6eb3fb392b9b36a |
| institution | Directory Open Access Journal |
| issn | 1008-9497 |
| language | zho |
| last_indexed | 2024-04-24T16:52:11Z |
| publishDate | 2019-05-01 |
| publisher | Zhejiang University Press |
| record_format | Article |
| series | Zhejiang Daxue xuebao. Lixue ban |
| spelling | doaj.art-965460341a8e451ea6eb3fb392b9b36a2024-03-29T01:58:39ZzhoZhejiang University PressZhejiang Daxue xuebao. Lixue ban1008-94972019-05-0146330230810.3785/j.issn.1008-9497.2019.03.006New oscillatory conditions of a class of the second-order Emden-Fowler differential equations(一类二阶Emden-Fowler 型微分方程的若干振动条件)YANGJiashan(杨甲山)0https://orcid.org/0000-0002-0340-097XQINGuijiang(覃桂茳)1https://orcid.org/0000-0002-5064-9225QINXuewen(覃学文)2ZHAOChunru(赵春茹)3 1.School of Data Science and Software Engineering, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China( 1.梧州学院 大数据与软件工程学院，广西 梧州 543002) 1.School of Data Science and Software Engineering, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China( 1.梧州学院 大数据与软件工程学院，广西 梧州 543002) 1.School of Data Science and Software Engineering, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China( 1.梧州学院 大数据与软件工程学院，广西 梧州 543002) 1.School of Data Science and Software Engineering, Wuzhou University, Wuzhou 543002, Guangxi Zhuang Autonomous Region, China( 1.梧州学院 大数据与软件工程学院，广西 梧州 543002)利用Riccati 变换技术，借助Bernoulli 不等式和Yang 不等式以及数学分析技巧，研究了具有非线性中立项的二阶广义Emden-Fowler 型微分方程的振动性，考虑非正则情形，建立了该方程的若干振动准则。最后用2 个例子说明，这些准则推广并改进了一些已有的结果，且具有较好的实用性和可操作性。https://doi.org/10.3785/j.issn.1008-9497.2019.03.006振动性emden-fowler 型微分方程非线性中立项riccati 变换 |
| spellingShingle | YANGJiashan(杨甲山) QINGuijiang(覃桂茳) QINXuewen(覃学文) ZHAOChunru(赵春茹) New oscillatory conditions of a class of the second-order Emden-Fowler differential equations(一类二阶Emden-Fowler 型微分方程的若干振动条件) Zhejiang Daxue xuebao. Lixue ban 振动性 emden-fowler 型微分方程 非线性中立项 riccati 变换 |
| title | New oscillatory conditions of a class of the second-order Emden-Fowler differential equations(一类二阶Emden-Fowler 型微分方程的若干振动条件) |
| title_full | New oscillatory conditions of a class of the second-order Emden-Fowler differential equations(一类二阶Emden-Fowler 型微分方程的若干振动条件) |
| title_fullStr | New oscillatory conditions of a class of the second-order Emden-Fowler differential equations(一类二阶Emden-Fowler 型微分方程的若干振动条件) |
| title_full_unstemmed | New oscillatory conditions of a class of the second-order Emden-Fowler differential equations(一类二阶Emden-Fowler 型微分方程的若干振动条件) |
| title_short | New oscillatory conditions of a class of the second-order Emden-Fowler differential equations(一类二阶Emden-Fowler 型微分方程的若干振动条件) |
| title_sort | new oscillatory conditions of a class of the second order emden fowler differential equations 一类二阶emden fowler 型微分方程的若干振动条件 |
| topic | 振动性 emden-fowler 型微分方程 非线性中立项 riccati 变换 |
| url | https://doi.org/10.3785/j.issn.1008-9497.2019.03.006 |
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