| 高阶非线性泛函微分方程的振动准则 |
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| 引用本文： | 吴雄健. 高阶非线性泛函微分方程的振动准则[J]. 徐州师范大学学报(自然科学版), 2008, 26(2): 54-58 |
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| 作者姓名： | 吴雄健 |
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| 作者单位： | 湖南省第一师范学校,小教大专部,湖南,长沙,410002 |
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| 基金项目： | 湖南省教育科学规划项目 , 湖南省第一师范学校基金 |
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| 摘 要： | 利用广义Riccati技巧、积分平均与完全平方技巧以及微分不等式理论,讨论了一类高阶非线性泛函微分方程的振动性,并得到一些新的振动准则.
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| 关 键 词： | 高阶泛函微分方程 非线性 振动性 广义Riccati技巧 |
Oscillation Criteria for Higher-order Nonlinear Functional Differential Equations |
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| WU Xiong-jian. Oscillation Criteria for Higher-order Nonlinear Functional Differential Equations[J]. Journal of Xuzhou Normal University(Natural Science Edition), 2008, 26(2): 54-58 |
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| Authors: | WU Xiong-jian |
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| Affiliation: | WU Xiong-jian (Department of Primary Education,Hu＇nan First Normal College,Changsha,Hu＇nan,410002,China) |
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| Abstract: | By using the generalized Riccati technique,the averaging technique and differential inequalities,the oscillation for a class of higher-order nonlinear functional differential equations is discussed,and some new oscillation criteria are obtained. |
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| Keywords: | higher-order functional differential equation nonlinear oscillation generalized Riccati technique |
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