| 两点边值问题解的存在性 |
| |
| 引用本文： | 盛平兴. 两点边值问题解的存在性[J]. 应用数学与计算数学学报, 1996, 10(1): 67-72 |
| |
| 作者姓名： | 盛平兴 |
| |
| 作者单位： | 上海大学数学系 上海，201800 |
| |
| 摘 要： | 本文讨论两点边值问题解的存在性,在没有孤立性条件下,获得了不动点定理,作为应用实例,给出了反应扩散方程稳态解的存在性证明。
|
| 关 键 词： | 两点边值问题 全连续算子 拓扑度 不动点定理 |
The Existence of Solutions of Two-Point Boundary Value Problem |
| |
| Sheng Pingxing. The Existence of Solutions of Two-Point Boundary Value Problem[J]. Communication on Applied Mathematics and Computation, 1996, 10(1): 67-72 |
| |
| Authors: | Sheng Pingxing |
| |
| Abstract: | This paper discusses the existence of solutions of two-point boundary value problems. For some special integral operators, slome fixed point theorem is obtained without any isolation condition. The existence of steady state solutions of reaction-diffusion systems is also discussed. |
| |
| Keywords: | two point boundary value problem completely continuous operator topo-logical degree fixed point theorem. |
| 本文献已被 CNKI 维普 等数据库收录！ |
