| BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS |
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| 引用本文： | Li Hua (School of Science,Jinan University,Jinan 250002) Luo Zhiguo (Dept. of Math.,Hunan Normal University,Changsha 410081). BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS[J]. Annals of Differential Equations, 2005, 21(3): 311-316 |
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| 作者姓名： | Li Hua (School of Science Jinan University Jinan 250002) Luo Zhiguo (Dept. of Math. Hunan Normal University Changsha 410081) |
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| 作者单位： | Li Hua (School of Science，Jinan University，Jinan 250002) Luo Zhiguo (Dept. of Math.，Hunan Normal University，Changsha 410081) |
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| 摘 要： | In this paper, we study the boundedness of a class of impulsive functional differential equations with infinite delays. We establish a uniform boundedness theorem and a uniformly ultimate boundedness theorem, which show that a certain impulsive perturbation can make an unbounded system into uniformly bounded, even uniformly ultimate bounded.
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| 关 键 词： | 脉冲函数 微分方程 有界限性 无限时滞 Lyapunov函数 |
BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS |
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| Li Hua Luo Zhiguo. BOUNDEDNESS OF IMPULSIVE FUNCTIONAL DIFFERENTIAL EQUATIONS WITH INFINITE DELAYS[J]. 微分方程年刊(英文版), 2005, 21(3): 311-316 |
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| Authors: | Li Hua Luo Zhiguo |
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| Affiliation: | [1]School of Science, Jinan University, Jinan 250002 [2]Dept. of Math., Hunan Normal University, Changsha 410081 |
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| Abstract: | In this paper, we study the boundedness of a class of impulsive functional differential equations with infinite delays. We establish a uniform boundedness theorem and a uniformly ultimate boundedness theorem, which show that a certain impulsive perturbation can make an unbounded system into uniformly bounded, even uniformly ultimate bounded. |
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| Keywords: | boundedness impulsive differential equation Razumikhin technique Lyapunov function |
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