| 惠远先,王俊杰.三阶中立型半线性时滞微分方程的振动性[J].井冈山大学自然版,2017,(1):8-13 |
| 三阶中立型半线性时滞微分方程的振动性 |
| OSCILLATORY RESULTS OF THIRD ORDER SEMILINEAR NEUTRAL DIFFERENTIAL EQUATIONS WITH DELAY ARGUMENT |
| 投稿时间：2016-08-14 修订日期：2016-09-30 |
| DOI：10.3969/j.issn.1674-8085.2017.01.002 |
| 中文关键词: 振动准则 三阶中立型半线性时滞微分方程 广义Riccati变换 |
| 英文关键词: Oscillation Criteria third order semilinear neutral differential equations with delay argument generalized Riccati substitution |
| 基金项目:云南省教育厅基金项目（2015Y490）；普洱学院科技创新团队项目（2015CXTD003）；普洱学院校级课题（2015xjkt020） |
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| 中文摘要: |
| 研究了一类三阶中立型半线性时滞微分方程的振动性质。通过广义Riccati变换和不等式技巧，建立了保证此方程的一切解振动或者收敛到零的若干新的振动准则，推广和改进了近期文献的相关结论并给出了具体例子。 |
| 英文摘要: |
| We study the oscillatory criteria's of third order semilinear neutral differential equations with delay argument. Using a generalized Riccati inequality and integral averaging technique, some new sufficient criteria are established, which any solution of this equation will be oscillatory or converge to zero. The results can extend and improve the ones in recent literature. We also give a number of examples to prove their efficiency. |
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