| 一类二阶中立型非线性阻尼泛函微分方程的振动准则 |
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| 引用本文： | 陈大学,周树清,龙玉花. 一类二阶中立型非线性阻尼泛函微分方程的振动准则[J]. 湖南工程学院学报(自然科学版), 2006, 16(3): 68-72 |
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| 作者姓名： | 陈大学 周树清 龙玉花 |
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| 作者单位： | 湖南工程学院,数理系,湖南,湘潭,411104;湖南师范大学,数学系,湖南,长沙,410081;湖南师范大学,数学系,湖南,长沙,410081;湖南工程学院,数理系,湖南,湘潭,411104 |
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| 基金项目： | 国家自然科学数学天元基金资助项目(A0324632) |
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| 摘 要： | 考虑一类二阶中立型非线性阻尼微分方程的振动性,通过广义R iccati变换、引入参数函数和采用积分平均技巧,获得了该类方程所有解振动的几簇充分条件,并推广了现有文献的一些结果.
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| 关 键 词： | 中立型泛函微分方程 阻尼项 振动性 |
| 文章编号： | 1671-119X(2006)03-0068-05 |
| 收稿时间： | 2005-12-18 |
| 修稿时间： | 2005-12-18 |
Oscillatory Criteria of a Glass of Second Order Neutral Type Nonlinear Damping Functional Differential Equations |
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| CHEN Da-xue,ZHOU Shu-qing,LONG Yu-hua. Oscillatory Criteria of a Glass of Second Order Neutral Type Nonlinear Damping Functional Differential Equations[J]. Journal of Hunan Institute of Engineering(Natural Science Edition), 2006, 16(3): 68-72 |
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| Authors: | CHEN Da-xue ZHOU Shu-qing LONG Yu-hua |
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| Affiliation: | 1. Dept. of Math. And Phy. , Hunan Institute of Engineering, Xiangtan 411104, China; 2. Dept. of Math. , Hunan Normal University, Changsha 410081, China |
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| Abstract: | Considering the oscillation of a glass of second order neutral type nonlinear daming functional differential equations,and by making use of generalized Riccati transformation,introducing parameter function H(t,s) and using integral averaging technique,several classes of sufficient conditions for the oscillation of all of its solutions are obtained.Some known results in the literature are also extended in this paper. |
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| Keywords: | neutral type functional differential equation damping term oscillation |
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