| 一致最终有界性与无限时滞泛函微分方程周期解 |
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| 引用本文： | 范猛,王克.一致最终有界性与无限时滞泛函微分方程周期解[J].系统科学与数学,1999,19(3):323-327. |
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| 作者姓名： | 范猛 王克 |
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| 作者单位： | 东北师范大学数学系,长春,130024 |
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| 摘 要： | 本文证明了在具有衰减记忆的允许相空间中，无限时滞泛函微分方程的解的一致最终有界性蕴含了周期解的存在性．
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| 关 键 词： | 无限时滞泛函微分方程 允许相空间 衰减记忆 一致最终有界 周期解 |
| 修稿时间： | 1997年6月23日 |
UNIFORM ULTIMATE BOUNDEDNESS AND PERIODIC SOLUTIONS OFFUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY |
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| Fan Meng,Wang Ke.UNIFORM ULTIMATE BOUNDEDNESS AND PERIODIC SOLUTIONS OFFUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAY[J].Journal of Systems Science and Mathematical Sciences,1999,19(3):323-327. |
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| Authors: | Fan Meng Wang Ke |
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| Institution: | Department of Mathematics, Northeast NOormal University, Changchun 130024,P.R.China |
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| Abstract: | It is proved in the paper that the uniformly ultimate boundedness of solutionsimplies the existence of periodic solutions to functional differential equations with infinite delayin admissible phase space with fading memory. |
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| Keywords: | Functional differential equation with infinite delay admissible phase space fading memory uniformly ultimate boundedness periodic solution |
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