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| 一类三阶非线性分布时滞动力方程的振动结果 | |
| 引用本文： | 惠远先,李培峦,戴丽华.一类三阶非线性分布时滞动力方程的振动结果[J].浙江大学学报(理学版),1959,46(3):315-322. |
| 作者姓名： | 惠远先 李培峦 戴丽华 |
| 基金项目： | 国家自然科学基金资助项目（61673008）；云南省教育厅基金资助项目（2017ZDX027）；普洱学院科研创新团队项目（2015CXTD003）；普洱学院校级科研项目（2015xjkt020）. |
| 摘 要： | 研究一类三阶非线性分布时滞动力方程的振动性，通过构造广义Riccati变换得到一类新的广义Riccati不等式，利用积分平均技巧等方法，建立了保证该方程一切解均振动或收敛于0的若干新的振动结果，推广和改进了近期文献的相关结论，并给出了若干例子。 |
| 关 键 词： | 振动准则 三阶 非线性 分布时滞 Riccati变换 |
| 收稿时间： | 2017-10-13 |
Oscillation criteria for a class of the third order nonlinear dynamic equations with distributed delays |
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| Yuanxian HUI,Peiluan LI,Lihua DAI.Oscillation criteria for a class of the third order nonlinear dynamic equations with distributed delays[J].Journal of Zhejiang University(Sciences Edition),1959,46(3):315-322. | |
| Authors: | Yuanxian HUI Peiluan LI Lihua DAI |
| Institution: | 1.School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006,China 2.School of Mathematics and Statistics, Puer University, Puer 665000, Yunnan Province, China 3.School of Mathematics and Statistics, Henan University of Science and Technology, Luoyang 471023, Henan Province, China |
| Abstract: | In the paper, oscillatory behaviors for a class of the third order nonlinear dynamic equations with distributed delays are studied. Using methods such as generalized Riccati transformation and Integral averaging technique, some new sufficient criteria are established that any solution of the equations will be either oscillatory or convergent to zero . The results extend the respective studies in recent literature, and give a number of examples to prove the efficiency. |
| Keywords: | oscillation criteria third order nonlinear distributed delay Riccati transformation |
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