Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4609469 | Journal of Differential Equations | 2016 | 31 Pages |
Abstract
We study the boundedness of solutions for non-linear quasi-periodic differential equations with Liouvillean frequencies. We proved that if the forcing is quasi-periodic in time with two frequencies which is not super-Liouvillean, then all solutions of the equation are bounded. The proof is based on action-angle variables and modified KAM theory.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Jing Wang, Jiangong You,