| Yoshizawa周期解定理的拓广 |
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| 引用本文： | 马世旺 庾建设. Yoshizawa周期解定理的拓广[J]. 湖南大学学报(自然科学版), 1996, 23(6): 27-29 |
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| 作者姓名： | 马世旺 庾建设 |
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| 作者单位： | 湖南大学应用数学系 |
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| 基金项目： | 国家教委优秀青年教师基金资助 |
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| 摘 要： | 证明了有限时滞泛函数分方程解的一致最终有界性蕴含周期的存在性，从而推广了著名的Ｙｏｓｈｉｚａｗａ周期解定理。
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| 关 键 词： | 泛函微分方程 周期解 Yoshizawa定理 |
Extension of Yoshizawa Theorem on Periodic Solution |
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| Ma Shiwang Yu Jianshe. Extension of Yoshizawa Theorem on Periodic Solution[J]. Journal of Hunan University(Naturnal Science), 1996, 23(6): 27-29 |
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| Authors: | Ma Shiwang Yu Jianshe |
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| Abstract: | It has been proved that the uniform ultimate boundedness of solutions implies the existence of periodic solutions to the functional differential equation with finite delay,and hence an extension of Yoshizawa theorem on periodic solutions has been obtained. |
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| Keywords: | functional differential equation with finite delay uniform ultimate boundedness periodic solution Yoshizawa theorem |
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