| 一类非线性时滞抛物型方程解的振动性 |
| |
| 引用本文： | 黄泽娟,李树勇.一类非线性时滞抛物型方程解的振动性[J].四川师范大学学报(自然科学版),2010,33(3). |
| |
| 作者姓名： | 黄泽娟 李树勇 |
| |
| 作者单位： | 四川师范大学,数学与软件科学学院,四川,成都,610066 |
| |
| 基金项目： | 四川省应用基础研究基金，四川省教育厅自然科学重点基金 |
| |
| 摘 要： | 讨论了一类非线性时滞抛物型偏微分方程解关于非常数平衡态的振动性.借助一阶时滞微分不等式及特征方程解的性质,使用平均法原理,建立起了这类方程在3类不同边界条件下,关于平衡态振动的若干充分条件.通过一个例子,说明结论的有效性.
|
| 关 键 词： | 时滞 平衡态 抛物型方程 振动性 |
Oscillation of Solution for a Class of Nonlinear Delay Parabolic Differetial Equations |
| |
| HUANG Ze-juan,LI Shu-yong.Oscillation of Solution for a Class of Nonlinear Delay Parabolic Differetial Equations[J].Journal of Sichuan Normal University(Natural Science),2010,33(3). |
| |
| Authors: | HUANG Ze-juan LI Shu-yong |
| |
| Institution: | HUANG Ze-juan,LI Shu-yong(College of Mathematics and Software Science,Sichuan Normal University,Chengdu 610066,Sichuan) |
| |
| Abstract: | In this paper,the oscillation about non-trivial steady state of solution for a nonlinear delay parabolic equation is studied.By using first order delay differential inequalities and eigenvalue problem,several sufficient criteria of oscillation of the equation about the non-trivial equilibrium are obtained under three different boundary conditions.One example is given to show the applicability of the proposed approach. |
| |
| Keywords: | delay steady state parabolic equation oscillation |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
|
