| 两点边值问题解的存在性 |
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| 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. |
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| 作者姓名： | 盛平兴 |
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| 作者单位： | 上海大学数学系 上海，201800 |
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| 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。
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| 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 |
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| Sheng Pingxing.The Existence of Solutions of Two-Point Boundary Value Problem[J].Communication on Applied Mathematics and Computation,1996,10(1):67-72. |
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| Authors: | Sheng Pingxing |
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| 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. |
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| Keywords: | two point boundary value problem completely continuous operator topo-logical degree fixed point theorem |
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