| 带扩散系数的拟线性时滞脉冲现象的振动性 |
| |
| 引用本文： | 廖基定,刘再明.带扩散系数的拟线性时滞脉冲现象的振动性[J].湖南大学学报(自然科学版),2010,37(2). |
| |
| 作者姓名： | 廖基定 刘再明 |
| |
| 作者单位： | 1. 中南大学,数学科学与计算技术学院,湖南,长沙,410075;南华大学,数理学院,湖南,衡阳,421001
2. 中南大学,数学科学与计算技术学院,湖南,长沙,410075 |
| |
| 基金项目： | 国家自然科学基金资助项目(10971230) |
| |
| 摘 要： | 研究了一类带扩散系数的拟线性脉冲时滞抛物型方程组的振动性,利用振动的定义、Green公式和Newmann边值条件将这类脉冲时滞抛物方程组的振动问题转化为脉冲时滞微分不等式正解的不存在性问题,并利用最终正解的定义和脉冲时滞微分不等式,获得了该类方程组所有解(强)振动的充分条件.
|
| 关 键 词： | 振动性 脉冲 时滞 拟线性扩散系数 抛物型方程组 |
Oscillations in Systems of Impulsive Delay Parabolic Equations with Quasilinear Diffusion Coefficient |
| |
| LIAO Ji-ding,LIU Zai-ming.Oscillations in Systems of Impulsive Delay Parabolic Equations with Quasilinear Diffusion Coefficient[J].Journal of Hunan University(Naturnal Science),2010,37(2). |
| |
| Authors: | LIAO Ji-ding LIU Zai-ming |
| |
| Institution: | 1.School of Mathematical Science and Computing Technology;Central South Univ;Changsha;Hunan 410075;China;2.School of Mathematics and Science;Univ of South China;Hengyang;Hunan 421001;China |
| |
| Abstract: | The oscillation and strong oscillation of the systems of a class of impulsive delay parabolic equations with quasilinear diffusion coefficient were studied.By using the oscillatory definition,Green's formula and Newmann boundary condition,the oscillatory problem of solution to the systems of impulsive delay parabolic equations was reduced to the nonexistence of position solution of impulsive delay differential inequality,and some sufficient conditions were obtained for the oscillation and strong oscillation... |
| |
| Keywords: | oscillations impulse delay quasilinear diffusion coefficient systems of parabolic equations |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《湖南大学学报(自然科学版)》浏览原始摘要信息 |
| 点击此处可从《湖南大学学报(自然科学版)》下载免费的PDF全文 |
