| 一类具分布式中立项的双曲型偏泛函微分方程的振动性 |
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| 引用本文： | 林文贤,谢敏华.一类具分布式中立项的双曲型偏泛函微分方程的振动性[J].滨州学院学报,2012(3):13-17. |
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| 作者姓名： | 林文贤 谢敏华 |
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| 作者单位： | 韩山师范学院数学与应用数学系;韩山师范学院潮州师范分院 |
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| 摘 要： | 研究了一类具有分布式中立项的非线性中立双曲型偏泛函微分方程的振动性,借助广义Riccati变换和微分不等式技巧,获得了这类方程分别在Robin、Dirichlet边值条件下所有解振动的若干新的充分性条件,表明其振动是由时滞量引起的,所得结果推广了最近文献的相关结果.
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| 关 键 词： | 双曲型 偏泛函微分方程 振动性 分布式中立项 |
Oscillation of Certain Hyperbolic Partial Functional Differential Equations with Distributed Neutral Term |
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| LIN Wen-xian,XIE Min-hua.Oscillation of Certain Hyperbolic Partial Functional Differential Equations with Distributed Neutral Term[J].Journal of Binzhou University,2012(3):13-17. |
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| Authors: | LIN Wen-xian XIE Min-hua |
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| Institution: | 1.Department of Mathematics and Applied Mathematics, Hanshan Normal University,Chaozhou 521041,China; 2.Chaozhou Teachers’ College,Hanshan Normal University,Chaozhou 521011,China) |
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| Abstract: | In this paper,the oscillation of a class of nonlinear hyperbolic partial differential equations with distributed neutral term is studied.By employing the generalized Riccati transformation and the technique of differential inequalities,some new sufficient conditions for oscillation of all solutions of such equations are obtained under Robin and Dirichlet boundary value conditions.The results fully indicate that the oscillation is caused by delay.The results generalize some the latest results. |
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| Keywords: | hyperbolic partial functional differential equation oscillation distributed neutral term |
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