| 一类具正负系数的二阶中立型方程的振动性 |
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| 引用本文： | 杨甲山,王瑀. 一类具正负系数的二阶中立型方程的振动性[J]. 合肥工业大学学报(自然科学版), 2012, 35(4): 552-556 |
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| 作者姓名： | 杨甲山 王瑀 |
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| 作者单位： | 1. 邵阳学院 理学与信息科学系,湖南 邵阳,422004
2. 安徽大学 数学科学学院,安徽 合肥,230039 |
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| 基金项目： | 国家自然科学基金资助项目，湖南省教育厅科研基金资助项目 |
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| 摘 要： | 文章研究了一类具有正负系数和变时滞的二阶非线性中立型泛函微分方程的振动性,通过引入参数函数和Riccati变换,结合Banach空间的不动点原理,获得了该类方程振动及非振动的判别准则,这些准则改善了对方程的条件限制,所得结果推广并改进了现有文献中的一系列结论。
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| 关 键 词： | 正负系数 变时滞 振动和非振动 Riccati变换 |
Oscillation of a class of second order neutral differential equations with positive and negative coefficients |
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| YANG Jia-shan , WANG Yu. Oscillation of a class of second order neutral differential equations with positive and negative coefficients[J]. Journal of Hefei University of Technology(Natural Science), 2012, 35(4): 552-556 |
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| Authors: | YANG Jia-shan WANG Yu |
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| Affiliation: | Yu2(1.Dept.of Science and Information,Shaoyang University,Shaoyang 422004,China;2.School of Mathematical Sciences,Anhui University,Hefei 230039,China) |
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| Abstract: | The oscillation of a class of second order nonlinear neutral functional differential equations with positive and negative coefficients and variable delay is discussed in this paper.By introducing the parameter function and the generalized Riccati transformation,and using the fixed point theorem in Banach space,some sufficient conditions for oscillation and nonoscillation of the equations are 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: | positive and negative coefficient variable delay oscillation and nonoscillation Riccati transformation |
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