| 新的不动点定理及应用 |
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| 引用本文： | 刘易成,李志祥. 新的不动点定理及应用[J]. 数学学报, 2006, 49(5): 1067-107. DOI: cnki:ISSN:0583-1431.0.2006-05-015 |
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| 作者姓名： | 刘易成 李志祥 |
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| 作者单位： | 国防科学技术大学理学院数学与系统科学系,长沙410073 |
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| 基金项目： | 致谢感谢审稿专家为本文修改和提高所提出的宝贵意见. |
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| 摘 要： | 本文获得了几个压缩型映射的不动点定理,改进了相应文献的结果．应用该定理,给出了一类时滞积分方程的正概周期解的存在性结果．推广了已有的结果．
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| 关 键 词： | 不动点定理 概周期解 时滞积分方程 |
| 文章编号： | 0583-1431（2006）05-1067-08 |
| 收稿时间： | 2004-08-12 |
| 修稿时间： | 2004-08-122005-08-25 |
New Fixed Point Theorems and Applications |
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| Yi Cheng LIU ,Zhi Xiang LI. New Fixed Point Theorems and Applications[J]. Acta Mathematica Sinica, 2006, 49(5): 1067-107. DOI: cnki:ISSN:0583-1431.0.2006-05-015 |
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| Authors: | Yi Cheng LIU Zhi Xiang LI |
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| Affiliation: | Department of Mathematics and Systems Science, Collgeg of Science, National University of Defense Technology, Changsha 410073, P. R. China |
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| Abstract: | Several fixed point theorems for contraction type mapping are obtained in this paper, which generalize and improve the corresponding results in [1-5]. As an application, some existence results of positive almost periodic solutions for delay integral equations are obtained, which generalize the existing results. |
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| Keywords: | fixed point theorem almost periodic solution delay integral equation |
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