Almost automorphic linear dynamics by Favard theory

作者：Campos Juan; Tarallo Massimo^*

来源：Journal of Differential Equations, 2014, 256(4): 1350-1367.

DOI：10.1016/j.jde.2013.10.018

• Almost periodic linear equations
• Almost automorphic solutions
• Favard separation condition

We prove that linear almost periodic systems always carry almost automorphic dynamics, thus confirming in this case a more general conjecture by Shen and Yi. The result is based on the accurate description of the breakdown of the Favard separation condition.

• 出版日期2014-2-15