| 具连续分布时滞的高阶中立型偏微分方程组的振动性 |
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| 引用本文： | 童立,湛莹婧,李珍.具连续分布时滞的高阶中立型偏微分方程组的振动性[J].甘肃联合大学学报(自然科学版),2010,24(2):16-19,23. |
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| 作者姓名： | 童立 湛莹婧 李珍 |
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| 作者单位： | 衡阳师范学院,数学与计算科学系,湖南,衡阳,421008 |
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| 基金项目： | 湖南省大学生研究性学习和创新性实验计划项目(湘教通[2008]269号) |
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| 摘 要： | 研究了一类具连续分布时滞的高阶中立型偏微分方程组的振动性,利用微分不等式方法和Riccati变换,获得了该类方程组在Dirichlet边值条件下所有解振动的若干充分条件,主要结果由实例加以阐述.
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| 关 键 词： | 高阶偏泛函微分方程组 中立型 连续分布时滞 振动性 Riccati变换 |
Oscillation of Systems on High Order Neutral Partial Differential Equations with Continuous Distribution Delay |
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| TONG Li,ZHAN Ying-jing,LI Zhen.Oscillation of Systems on High Order Neutral Partial Differential Equations with Continuous Distribution Delay[J].Journal of Gansu Lianhe University :Natural Sciences,2010,24(2):16-19,23. |
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| Authors: | TONG Li ZHAN Ying-jing LI Zhen |
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| Institution: | Department of Mathematics and Computational Science;Hengyang Normal University;Hengyang 421008;China |
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| Abstract: | The oscillation for systems of high order neutral partial differential equations with continuous distribution delay was studied in this paper,using differential inequality and Riccati transformation.some sufficient conditions were obtained for the oscillation of solutions on the systems under Robin and Dirichlet boundary value conditions.The results were generalized and included by some known conclusions.The main results are illustrated by some examples. |
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| Keywords: | system of high order partial differential equation neutral type continuous distribution delay oscillation Riccati transformation |
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