| 非线性脉冲时滞抛物型偏微分方程组边值问题的振动准则 |
| |
| 引用本文： | 罗李平.非线性脉冲时滞抛物型偏微分方程组边值问题的振动准则[J].空军工程大学学报,2007,8(5):91-94. |
| |
| 作者姓名： | 罗李平 |
| |
| 作者单位： | 衡阳师范学院数学系 湖南衡阳421008 |
| |
| 基金项目： | 湖南省自然科学基金资助项目(05JJ40008)，2007年湖南省教育厅科研项目 |
| |
| 摘 要： | 考虑一类具非线性扩散系数的脉冲时滞抛物型偏微分方程组,利用Green公式、垂直相加法和脉冲时滞微分不等式,获得了该类方程组在Robin边值条件下所有解振动的充分判据.所得结果充分反映了脉冲和时滞在振动中的影响作用。
|
| 关 键 词： | 脉冲 时滞 抛物型偏微分方程组 振动性 非线性扩散系数 |
| 文章编号： | 1009-3516（2007）05-0091-04 |
| 修稿时间： | 2007-01-23 |
Oscillation Criteria for Boundary Value Problem of Systems of Nonlinear Impulsive Delay Parabolic Differential Equations |
| |
| LUO Li-ping.Oscillation Criteria for Boundary Value Problem of Systems of Nonlinear Impulsive Delay Parabolic Differential Equations[J].Journal of Air Force Engineering University(Natural Science Edition),2007,8(5):91-94. |
| |
| Authors: | LUO Li-ping |
| |
| Institution: | Dept. of Math. , Hengyang Normal University, Hengyang, Hunan,421008 |
| |
| Abstract: | A class of systems of impulsive delay parabolic partial differential equations with nonlinear diffusion coefficient is considered.By using Green's formula,vertical additive method and impulsive delay differential inequalities,sufficient criteria for oscillation of all solutions of such systems are obtained under Robin boundary condition.The results fully reflect the influence action of impulsive and delay in oscillation. |
| |
| Keywords: | impulsive delay system of parabolic partial differential equations oscillation nonlinear diffusion coefficient |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《空军工程大学学报》浏览原始摘要信息 |
| 点击此处可从《空军工程大学学报》下载免费的PDF全文 |
