Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773909 | Journal of Differential Equations | 2017 | 31 Pages |
Abstract
In this paper we study the dynamical behavior of the differential equationxâ³+ax+âbxâ=f(t), where x+=maxâ¡{x,0}, xâ=maxâ¡{âx,0}, a and b are two different positive constants, f(t) is a real analytic almost periodic function. For this purpose, firstly, we have to establish some variants of the invariant curve theorem of planar almost periodic mappings, which was proved recently by the authors (see [11]). Then we will discuss the existence of almost periodic solutions and the boundedness of all solutions for the above asymmetric oscillation.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Peng Huang, Xiong Li, Bin Liu,