| 一类具有扩散系数和连续偏差变元的中立型偶阶偏泛函微分方程的振动性 |
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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： | 研究一类具有连续偏差变元和非线性扩散系数的偶阶中立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,获得这类方程分别在Robin和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： | 非线性扩散系数 偏泛函微分方程 振动性 广义Riccati变换 |
| 收稿时间： | 2011-06-20 |
| 修稿时间： | 2012-01-19 |
Oscillation of a class of even-order neutral partial functional differential equations with continuous deviating arguments and diffusion coefficients |
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| Authors: | LIN Wen-Xian |
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| Institution: | Department of Mathematics and Applied Mathematics, Hanshan Normal University, Chaozhou 521041, Guangdong, China |
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| Abstract: | Oscillation of a class of even-order neutral partial functional differential equations with continuous deviating arguments and nonlinear diffusion coefficients is studied. By employing the generalized Riccati transformation and the differential inequalities, some new sufficient conditions for oscillation of all the solutions of such equations are obtained under Robin and Dirichlet boundary value conditions. The results show that the oscillation is caused by delay. The results generalize some recently published results. |
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| Keywords: | nonlinear diffusion coefficient partial functional differential equation oscillation generalized Riccati transformation |
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