| 中立型泛函微分方程的周期解 |
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| 引用本文： | 迪申加卜.中立型泛函微分方程的周期解[J].中国人民武装警察部队学院学报,2001,17(3):36-38. |
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| 作者姓名： | 迪申加卜 |
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| 作者单位： | 迪申加卜（武警学院,基础部,河北,廊坊,065000） |
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| 摘 要： | 综合利用D算子的性质及Horn不动点定理8],研究了有限时滞中立型泛函微分方程的周期解的存在性问题,证明了解的一致最终有界性蕴含周期解的存在性,从而推广了著名的Yoshizawa周期解定理3],同时推广了1]和2]的主要结果.
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| 关 键 词： | 稳定的D算子 时滞微分方程 一致最终有界 周期解 |
| 文章编号： | 1008-2077(2001)03-0036-03 |
| 修稿时间： | 2000年12月28 |
The periodic solutions of neutral functional differential equations |
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| Di-shen-jia-pu.The periodic solutions of neutral functional differential equations[J].Journal of the Chinese People's Armed Police Force Academy,2001,17(3):36-38. |
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| Authors: | Di-shen-jia-pu |
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| Abstract: | In this paper, using properties of D operator and Horn's fixed Point Theorem, we studied the existence of the periodic solutions to neutral functional differential equations with finite delay and proved that the uniformly ultimate boundedness of solutions implies the existence of the periodic solutions. The main results in l, 2 ] are generalized. |
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| Keywords: | stable D operator delay differential equations uniformly ultimate boundedness periodic solutions |
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