Nonuniform dichotomy spectrum and reducibility for nonautonomous equations
Nonuniform dichotomy spectrum and reducibility for nonautonomous equations
复制标题
DOI：
10.1016/j.bulsci.2014.11.002
复制
发表时间：
2014-02
影响因子：
1.3
通讯作者：
Jifeng Chu;F. Liao;S. Siegmund;Yonghui Xia;Weinian Zhang
中科院分区：
文献类型：
--
作者：
Jifeng Chu;F. Liao;S. Siegmund;Yonghui Xia;Weinian Zhang
对于具有非一致双曲性的非自治线性微分方程组，我们引入了非一致二分谱的定义，它可以看作是Sacker-Sell谱的推广。我们证明了一个谱定理，并利用谱定理证明了一个约化结果。
For nonautonomous linear differential equations with nonuniform hyperbolicity, we introduce a definition for nonuniform dichotomy spectrum, which can be seen as a generalization of Sacker–Sell spectrum. We prove a spectral theorem and use the spectral theorem to prove a reducibility result.