| 广义F（t）指数型二分性条件下的线性化 |
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| 引用本文： | 高永飞. 广义F（t）指数型二分性条件下的线性化[J]. 商丘师范学院学报, 2012, 28(9): 13-16 |
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| 作者姓名： | 高永飞 |
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| 作者单位： | 浙江师范大学数理与信息工程学院,浙江金华,321004 |
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| 基金项目： | 浙江省自然科学基金资助项目(Y6100029,Y6110195) |
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| 摘 要： | 将Hartman线性化定理Palmer线性化定理推广到具有广义F（t）指数型二分性的系统,在一定条件下,我们可以得到系统=A（t）x＋f（t,x）拓扑等价于其线性部分=A（t）x.
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| 关 键 词： | 广义F(t)指数型二分性 拓扑等价 等价函数 线性化 |
The linearization with generalized F(t) exponential dichotomy |
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| GAO Yongfei. The linearization with generalized F(t) exponential dichotomy[J]. Journal of Shangqiu Teachers College, 2012, 28(9): 13-16 |
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| Authors: | GAO Yongfei |
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| Affiliation: | GAO Yongfei(Department of Mathematics,Zhejiang Normal University,Jinhua 321004,China) |
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| Abstract: | In this paper,we extend Hartman’s linearization theorem and Palmer’s linearization theorem to the system with generalized F(t) exponential dichotomy,and some suitable assumptions are added,then system =A(t)x+f(t,x) is topologically equivalent to =A(t)x. |
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| Keywords: | generalized F(t) exponential dichotomy topologically equivalent equivalent function linearization |
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