| 偶阶半线性中立型分布时滞微分方程的振动性 |
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| 引用本文： | 张全信,高丽,俞元洪. 偶阶半线性中立型分布时滞微分方程的振动性[J]. 应用数学学报, 2011, 34(5) |
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| 作者姓名： | 张全信 高丽 俞元洪 |
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| 作者单位： | 1. 滨州学院数学与信息科学系,滨州,256603
2. 中国科学院数学与系统科学研究院,北京,100190 |
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| 基金项目： | 国家自然科学基金(10771118); 山东省自然科学基金(ZR2010AM031); 山东省优秀中青年科学家科研奖励基金(BS2010SF001); 山东省科技发展计划(2010GWZ20401)资助项目 |
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| 摘 要： | 摘要本文研究偶阶半线性中立型分布时滞微分方程,利用广义Riccati变换和积分平均技巧得到方程一切解均为振动的若干新的振动准则,推广和改进了一些文献中的结果.
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| 关 键 词： | 半线性微分方程 分布时滞 振动准则 |
Oscillation of Even Order Half-linear Neutral Differential Equations with Distributed Delay |
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| ZHANG QUANXIN , GAO LI , YU YUANHONG. Oscillation of Even Order Half-linear Neutral Differential Equations with Distributed Delay[J]. Acta Mathematicae Applicatae Sinica, 2011, 34(5) |
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| Authors: | ZHANG QUANXIN GAO LI YU YUANHONG |
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| Affiliation: | ZHANG QUANXIN GAO LI (Department of Mathematics and Information Science,Binzhou University,Binzhou 256603) YU YUANHONG (Academy of Mathematics and Systems Science,Chinese Academy of Sciences,Beijing 100190) |
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| Abstract: | In this paper a class of even order half-linear neutral differential equations with distributed delay are studied.By using the generalized Riccati transformation and the integral averaging technique,new oscillation criteria are obtained for all solutions of the equations,which generalize and improve the results of some literatures. |
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| Keywords: | half-linear differential equation distributed delay oscillation criterion |
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