| 半序空间中增算子的不动点及其应用 |
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| 引用本文： | 杨光崇. 半序空间中增算子的不动点及其应用[J]. 应用数学和力学, 2002, 23(3): 309-315 |
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| 作者姓名： | 杨光崇 |
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| 作者单位： | 成都信息工程学院, 计算科学系, 成都, 610041 |
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| 摘 要： | 证明了半序空间中增算子的最小最大不动点定理,推广和改进了增算子和混合单调算子的某些最近结果,并应用于没有任何连续性紧性凹性凸性假定下非线性奇异常微分方程的边值问题。
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| 关 键 词： | 半序空间 上确界和下确界 增算子及不动点 奇异边值问题 |
| 文章编号： | 1000-0887(2002)03-0309-07 |
| 收稿时间： | 2001-01-20 |
| 修稿时间： | 2001-01-20 |
Fixed Ponts of Increasing Operators in Ordered Space With Applications |
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| YANG Cuang-chong. Fixed Ponts of Increasing Operators in Ordered Space With Applications[J]. Applied Mathematics and Mechanics, 2002, 23(3): 309-315 |
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| Authors: | YANG Cuang-chong |
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| Affiliation: | Department of Basic Computation Science, Chengdu University of Information Technology, Chengdu 610041, P R China |
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| Abstract: | The minimal-maximal fixed points theorems of increasing operators are proved in ordered space and some well-known results of increasing operators and monotone operators are improved and generalized. The obtained results are then applied to singular nonlinear boundary problem in ordinary differential equation without any assumption of continuity, compactness, convexity and concavity. |
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| Keywords: | ordered space supremum and infimum increasing operator and fixed point singular boundary problem |
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