| 关于滞后型泛函微分方程的稳定性 |
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| 引用本文： | 谢彦麟.关于滞后型泛函微分方程的稳定性[J].华南师范大学学报(自然科学版),1993,0(2):1-33. |
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| 作者姓名： | 谢彦麟 |
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| 作者单位： | 华南师范大学数学系 |
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| 摘 要： | 由于有界滞量与无异滞量FDE均可看成无穷时滞FDE的特例,本文尝试按容许空间上稳定性以统一的方法研究滞后型FDE稳定性,把现有文献中对有界滞量FDE稳定性(含不稳定)的主要结果推广到一般滞后型FDE,总结并改进现有文献对此三类方程稳定性的主要结果.
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| 关 键 词： | 滞后型 泛函微分方程 稳定性 有界滞量 无界滞量 |
ON STABILITY OF THE RETARDED FUNCTIONAL DIFFERENTIAL EQUATION |
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| Xie Yanlin.ON STABILITY OF THE RETARDED FUNCTIONAL DIFFERENTIAL EQUATION[J].Journal of South China Normal University(Natural Science Edition),1993,0(2):1-33. |
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| Authors: | Xie Yanlin |
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| Institution: | Dept. of Maths. |
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| Abstract: | In fact FDE with bounded retard and FDE with unbounded retard are special cases of FDE with infinite delay. This paper deals with stability of retarded FDE by stability on permitted space. In the same method, extension is made of main result on stability (including unstability)of FDE with bounded retard to generally retarded FDE. Main results on stability of the three types of FDE are summarized and improved. |
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| Keywords: | retarded FDE stability unstable bounded retard unbounded retard infinite delay |
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