新的不动点定理及应用

刘易成;李志祥;

数学学报 ›› 2006, Vol. 49 ›› Issue (5) : 1067-107.

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PDF(418 KB)
数学学报 ›› 2006, Vol. 49 ›› Issue (5) : 1067-107. DOI: 10.12386/A2006sxxb0133
论文

新的不动点定理及应用

    刘易成;李志祥;
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New Fixed Point Theorems and Applications

    Yi Cheng LIU; Zhi Xiang LI
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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.

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.

关键词

时滞积分方程 / 概周期解 / 不动点定理

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刘易成;李志祥;. 新的不动点定理及应用. 数学学报, 2006, 49(5): 1067-107 https://doi.org/10.12386/A2006sxxb0133
Yi Cheng LIU; Zhi Xiang LI. New Fixed Point Theorems and Applications. Acta Mathematica Sinica, Chinese Series, 2006, 49(5): 1067-107 https://doi.org/10.12386/A2006sxxb0133
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