| 一类具阻尼项的三阶半线性中立型泛函微分方程的Philos型振动结果 |
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| 引用本文： | 林文贤. 一类具阻尼项的三阶半线性中立型泛函微分方程的Philos型振动结果[J]. 安徽大学学报(自然科学版), 2016, 40(6): 1-4. DOI: 10.3969/j.issn.1000-2162.2016.06.001 |
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| 作者姓名： | 林文贤 |
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| 作者单位： | 韩山师范学院 数学与统计学院,广东 潮州,521041 |
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| 基金项目： | 广东省高等教育教学改革项目(GDJG20142396)，广东省高等学校特色创新项目(2014GXJK125) |
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| 摘 要： | 论文研究一类具有阻尼项的3阶半线性中立型泛函微分方程的振动性质,利用广义Riccati变换、平均不等式技巧和H-函数技巧,建立了保证该类方程的一切解Philos型振动或者收敛于零的若干新的充分条件,推广和改进最近文献的相应结果.
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| 关 键 词： | 3阶泛函微分方程 阻尼项 Philos型振动 |
Oscillation results of Philos-type for third-order half linear neutral damped differential equations |
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| Abstract: | In this article, the oscillation of third-order half linear neutral damped functional differential equations was studied.By using the generalized Riccati transformation, the averaging inequality technique and H-function technique, some new sufficient conditions which insure that any solution to such equation oscillates or converges to zero was established.The corresponding results in known literature was extended and improved. |
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| Keywords: | third-order functional differential equations damping terms Philos-type oscillation |
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