| 一类二阶非线性中立型变时滞的微分方程的振动性 |
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| 引用本文： | 苏芳,覃学文.一类二阶非线性中立型变时滞的微分方程的振动性[J].梧州学院学报,2014(6):12-17. |
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| 作者姓名： | 苏芳 覃学文 |
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| 作者单位： | 梧州学院 信息与电子工程学院,广西 梧州,543002 |
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| 摘 要： | 研究了一类二阶非线性中立型变时滞微分方程的振动性,通过引入参数函数和Riccati变换,并利用不等式的变分技巧,获得了这类方程振动的判别准则,这些准则改善了对方程的条件限制,所得结论推广和改进了现有文献中的一系列结果。
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| 关 键 词： | 非线性中立型 变时滞 振动 Riccati变换 |
Oscillation of Certain Second Order Nonlinear Neutral Differential Equations with Variable Delay |
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| Su Fang,Qin Xuewen.Oscillation of Certain Second Order Nonlinear Neutral Differential Equations with Variable Delay[J].Journal of Guangxi University Wuzhou Branch,2014(6):12-17. |
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| Authors: | Su Fang Qin Xuewen |
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| Institution: | 1.2. Institute of Information and Electronic Engineering, Wuzhou University, Wuzhou 543002, China) |
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| Abstract: | The oscillation of certain second order nonlinear neutral differential equations with variable delay is discussed in this paper. By introducing the parameter function and the generalized Riccati transformation and using the inequality of variational techniques, some sufficient conditions for oscillation of the equation is proposed. These criteria can improve the restriction of the conditions for the equations. These results improve and generalize some corresponding results given in literature. |
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| Keywords: | Nonlinear Neutral Variable delay Oscillation Riccati transformation |
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