| 具有非局部边界条件的强耦合反应扩散方程组(英) |
| |
| 引用本文： | 江成顺,李海峰. 具有非局部边界条件的强耦合反应扩散方程组(英)[J]. 应用数学, 1997, 0(3) |
| |
| 作者姓名： | 江成顺 李海峰 |
| |
| 作者单位： | 南京大学数学系!南京210008(江成顺)，郑州纺织工学院!郑州450007(李海峰) |
| |
| 摘 要： | 考虑具有非局部边界条件的半线性强耦合反应扩散方程组的初边值问题．利用上、下解方法和Leray—Schauder不动点定理等，证明问题在适当条件下的光滑解的存在唯一性．
|
| 关 键 词： | 强耦合反应扩散方程组 非局部边值条件 整体光滑解 Leray－Schauder不动点定理 |
Nonlocal IBVP for a Reaction-Diffusion System |
| |
| Jiang Chengshun. Nonlocal IBVP for a Reaction-Diffusion System[J]. Mathematica Applicata, 1997, 0(3) |
| |
| Authors: | Jiang Chengshun |
| |
| Abstract: | This paper is concerned with a nonlocal initial boundary value problem (IBVP) for a strongly coupled semilinear reaction-diffusion system. By using upper and lower solutions method and Leray-Schauder fixed point theorem and so on, the authors prove the global existence and uniqueness of the smooth solution for this nonlocal IBVP under some appropriate conditions. |
| |
| Keywords: | Strongly coupled system of reaction-Diffusion equations Nonlocal initial boundary value problem Global smooth solution Leray-Schauder fixed point theorem |
| 本文献已被 CNKI 等数据库收录！ |
