| 二阶非线性变时滞中立型微分方程的振荡性分析 |
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| 引用本文： | 于强,杨甲山. 二阶非线性变时滞中立型微分方程的振荡性分析[J]. 安徽大学学报(自然科学版), 2016, 40(4): 22-29. DOI: 10.3969/j.issn.1000-2162.2016.04.005 |
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| 作者姓名： | 于强 杨甲山 |
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| 作者单位： | 辽东学院师范学院数学系,辽宁丹东,118003;梧州学院信息与电子工程学院,广西梧州,543002 |
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| 基金项目： | 国家自然科学基金青年科学基金资助项目(61503171)；辽宁省教育厅科研项目(L2013500) |
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| 摘 要： | 研究一类具有变时滞的二阶中立型泛函微分方程的振荡性.利用Riccati变换技术及一些分析技巧,获得该类方程振荡的两个新的判别准则和两个比较性判别定理,这些结论推广且改进了现有文献中的一些结果.所举的两个例子说明所得定理的假设条件是较宽松的.
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| 关 键 词： | 振荡性 变时滞 泛函微分方程 Riccati变换 |
Oscillation analysis of second-order nonlinear variable delay neutral differential equations |
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| YU Qiang,YANG Jiashan. Oscillation analysis of second-order nonlinear variable delay neutral differential equations[J]. Journal of Anhui University(Natural Sciences), 2016, 40(4): 22-29. DOI: 10.3969/j.issn.1000-2162.2016.04.005 |
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| Authors: | YU Qiang YANG Jiashan |
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| Abstract: | We studied the oscillatory behavior of a class of second‐order neutral functional differential equations with variable delay in this paper . By using the generalized Riccati transformation and some necessary analytic techniques ,we established two new oscillation criteria and two comparison theorems for the oscillation of the equations . Those criteria improved and generalized some corresponding known results .Two examples were provided to illustrate assumptions in our theorems are less restrictive . |
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| Keywords: | oscillation variable delay functional differential equation Riccati transformation |
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