| 具连续偏差变元的非线性中立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.具连续偏差变元的非线性中立双曲型偏泛函微分方程的振动性[J].韩山师范学院学报,2011,32(3):14-18,36. |
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| 作者姓名： | 林文贤 |
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| 作者单位： | 韩山师范学院数学信息技术系,广东潮州,521041 |
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| 摘 要： | 研究了一类具连续偏差变元和扩散系数的非线性中立双曲型偏泛函微分方程的振动性,借助Green公式和微分不等式技巧,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.
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| 关 键 词： | 双曲型 偏泛函微分方程 振动性 连续偏差变元 非线性扩散系数 |
Oscillation of Certain Nonlinear Neutral Hyperbolic Partial Functional Differential Equations with Continuous Distribution Arguments |
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| LIN Wen-xian.Oscillation of Certain Nonlinear Neutral Hyperbolic Partial Functional Differential Equations with Continuous Distribution Arguments[J].Journal of Hanshan Teachers College,2011,32(3):14-18,36. |
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| Authors: | LIN Wen-xian |
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| Institution: | LIN Wen-xian(Department of Mathematics 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 nonlinear diffusion coefficient are studied.By employing the Gree ’s formula and the technique of differential inequalities,some new suffcient conditions for oscillaton 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. |
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| Keywords: | hyperbolic partial functional differential equation oscillation continuous deviating arguments nonlinear diffusion coefficient (2000)AMS Subject Classification 34K40 |
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