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广义F(t)指数型二分性条件下的线性化

The linearization with generalized F(t) exponential dichotomy
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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. 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 x = A (t)x +f ( t, x ) is topologically equivalent to x = A (t) x.
作者 高永飞
出处 《商丘师范学院学报》 CAS 2012年第9期13-16,共4页 Journal of Shangqiu Normal University
基金 浙江省自然科学基金资助项目(Y6100029 Y6110195)
关键词 广义F(t)指数型二分性 拓扑等价 等价函数 线性化 generalized F(t) exponential dichotomy topologically equivalent equivalent function linearization
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参考文献3

  • 1Palmer K J. A Generalization of Hartman's Linearization Theorem [ J ]. J. Math. Anal. Appl. , 1973,41:752 -758.
  • 2Shi Jinlin. hnprovement of Hartman's Linearization Theorem [ J ]. Sei. China Ser. A ,2003,46 (2) :215 -228.
  • 3J iang Liangping. Generalized exponential dichotomy and global linearization [ J ]. J. Math. Anal. Appl. , 2006,315 (2) :474 -490.

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