| 关于一类非线性中立双曲型偏泛函微分方程的振动性的注记 |
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| 引用本文： | 林文贤.关于一类非线性中立双曲型偏泛函微分方程的振动性的注记[J].韩山师范学院学报,2013(3):7-11. |
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| 作者姓名： | 林文贤 |
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| 作者单位： | 韩山师范学院数学与应用数学系,广东潮州521041 |
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| 摘 要： | 研究了一类具有扩散系数的时滞量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 扩散系数 |
Remarks On the Oscillation of Certain Nonlinear Hyperbolic Partial Functional Differential Equations of Neutral Type |
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| LIN Wen-xian.Remarks On the Oscillation of Certain Nonlinear Hyperbolic Partial Functional Differential Equations of Neutral Type[J].Journal of Hanshan Teachers College,2013(3):7-11. |
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| Authors: | LIN Wen-xian |
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| Institution: | LIN Wen-xian (Department of Mathematic and Applied Mathematics, Hanshan Normal University, Chaozhou 521041, China) |
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| Abstract: | In this article, the oscillation of a class of nonlinear neutral hyperbolic partial differential equations with continuous deviating arguments and diffusion coefficient 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 lastest results. |
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| Keywords: | hyperbolic partial functional differential equation oscillation diffusion coefficient |
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