| 具有无穷时滞泛函微分方程的周期解 |
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| 引用本文： | 彭世国,朱思铭. 具有无穷时滞泛函微分方程的周期解[J]. 数学年刊A辑(中文版), 2002, 0(3) |
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| 作者姓名： | 彭世国 朱思铭 |
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| 作者单位： | 广东工业大学应用数学系 广州510090(彭世国)，中山大学数学系 广州510275(朱思铭) |
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| 基金项目： | 国家自然科学基金（No.19771089）资助的项目. |
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| 摘 要： | 讨论具有无穷时滞中立型泛函微分方程的周期解问题.利用矩阵测度和Krasnoselskii不动点定理得到了周期解的存在性和唯一性定理;特别地,当Q（s）为零矩阵,A（t,x）=A（t）时给出了存在唯一稳定的周期解的条件.
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| 关 键 词： | 无穷时滞 中立型 泛函微分方程 周期解 |
PERIODIC SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY |
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| PENG Shiguo ZHU SimingDeptartment of Applied Mathematics,Guangdong University of Technology,Guangzhou ,China. Deptartment of Mathematics,Zhongshan University,Guangzhou ,China.. PERIODIC SOLUTIONS OF FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY[J]. Chinese Annals of Mathematics, 2002, 0(3) |
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| Authors: | PENG Shiguo ZHU SimingDeptartment of Applied Mathematics Guangdong University of Technology Guangzhou China. Deptartment of Mathematics Zhongshan University Guangzhou China. |
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| Affiliation: | PENG Shiguo ZHU SimingDeptartment of Applied Mathematics,Guangdong University of Technology,Guangzhou 510090,China. Deptartment of Mathematics,Zhongshan University,Guangzhou 510275,China. |
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| Abstract: | |
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| Keywords: | Infinite delay Functional differential equation Periodic solution |
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