| 具有时滞的Volterra反应扩散差分方程的稳定性 |
| |
| 引用本文： | 时宝,翟景春. 具有时滞的Volterra反应扩散差分方程的稳定性[J]. 高校应用数学学报(A辑), 2000, 15(4): 407-414 |
| |
| 作者姓名： | 时宝 翟景春 |
| |
| 作者单位： | 海军航空工程学院,基础部,山东,烟台,264001 |
| |
| 基金项目： | 海军航空工程学院校科研和教改项目，中国科学院资助项目，，69974032，， |
| |
| 摘 要： | 本文考虑一类时滞Volterra反应扩散差分方程的初边值问题的正稳态解的稳定性。利用上下解方法和单调迭代方法得到了每一个解趋于方程的正稳态解的充分条件。
|
| 关 键 词： | 时滞 VOLTERRA反应扩散差分方程 正稳态解 稳定性 上下解方法 |
| 修稿时间： | 1999-07-24 |
STABILITY OF VOLTERRA REACTION-DIFFUSION DIFFERENCE EQUATIONS WITH DELAYS |
| |
| Shi Bao,Zhai Jingchun. STABILITY OF VOLTERRA REACTION-DIFFUSION DIFFERENCE EQUATIONS WITH DELAYS[J]. Applied Mathematics A Journal of Chinese Universities, 2000, 15(4): 407-414 |
| |
| Authors: | Shi Bao Zhai Jingchun |
| |
| Abstract: | In this paper, the positive steady|state solution for the initial|boundary value problem of a class of Volterra reaction|diffusion difference equations with delays is considered.A sufficient condition for each solution to approach to the positive steady|state solution of the equation by the method of lower and upper solutions and monotone iterative techniques is obtained.$$$$ |
| |
| Keywords: | Stability Positive Steady|state Solutions Volterra Reaction|diffusion Difference Equations Delays Methods of Lower and Upper Solutions Monotone Iterative Techniques |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
