Nonuniform dichotomy spectrum and reducibility for nonautonomous equations

作者：Chu, Jifeng^*; Liao, Fang-Fang; Siegmund, Stefan; Xia, Yonghui; Zhang, Weinian

来源：Bulletin des Sciences Mathematiques, 2015, 139(5): 538-557.

DOI：10.1016/j.bulsci.2014.11.002

• Nonuniform dichotomy spectrum
• Nonautonomous differential equations
• Nonuniform exponential dichotomy
• Reducibility

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.

• 出版日期2015-7
• 单位四川大学; 河海大学; 浙江师范大学