标题：Boundedness of Solutions for a Class of Sublinear Reversible Oscillators with Periodic Forcing
作者：Zhang, Tingting; Si, Jianguo
作者机构：[Zhang, Tingting; Si, Jianguo] Shandong Univ, Sch Math, Jinan 250100, Peoples R China.
通讯作者地址：[Si, JG]Shandong Univ, Sch Math, Jinan 250100, Peoples R China.
来源：ABSTRACT AND APPLIED ANALYSIS
摘要：We study the boundedness of all solutions for the following differential equation x '' + f(x)x' + (B + epsilon e(t) vertical bar x vertical bar(alpha-1)x = p(t) where f(x), p(t) are odd functions, e(t) is an even function, e(t), p(t) are smooth 1-periodic functions, B is a nonzero constant, and epsilon is a small parameter. A sufficient and necessary condition for the boundedness of all solutions of the above equation is established. Moreover, the existence of Aubry-Mather sets is obtained as well.