| 二阶非线性中立型时滞微分方程区间振动准则 |
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| 引用本文： | 项首先,王玉品,姜兆财,韩振来,曹恭玉. 二阶非线性中立型时滞微分方程区间振动准则[J]. 聊城大学学报(自然科学版), 2012, 25(2): 10-13 |
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| 作者姓名： | 项首先 王玉品 姜兆财 韩振来 曹恭玉 |
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| 作者单位： | 济南大学数学科学学院,山东济南,250022 |
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| 基金项目： | 国家自然科学基金资助项目，山东省自然科学基金 |
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| 摘 要： | 运用Riccati变换技术和不等式技巧,研究了一类二阶非线性中立型时滞微分方程的振动性,给出了此类方程所有解区间振动的两个充分条件,推广并改进了已有的结果.
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| 关 键 词： | 振动性 中立型 时滞微分方程 Riccati变换 |
Interval Oscillation Criteria for Second-Order Nonlinear Neutral Delay Differential Equations |
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| XIANG Shou-xian,WANG Yu-pin,JIANG Zhao-cai,HAN Zhen-lai,CAO Gong-yu. Interval Oscillation Criteria for Second-Order Nonlinear Neutral Delay Differential Equations[J]. JOURNAL OF LIAOCHENG UNIVERSITY (NATURAL SCIENCE, 2012, 25(2): 10-13 |
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| Authors: | XIANG Shou-xian WANG Yu-pin JIANG Zhao-cai HAN Zhen-lai CAO Gong-yu |
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| Affiliation: | (School of Mathematical Science,University of Jinan,Jinan 250022,China) |
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| Abstract: | By generalized Riccati transformation and inequality technique,an oscillation of second-order nonlinear neutral delay differential equation is studied,and two sufficient conditions are obtained for interval oscillation for this equation.The results in this paper extend and improve the results given in literatures. |
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| Keywords: | oscillation neutral delay differential equation Riccati transformation |
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