We study the boundedness of all solutions for the following differential equation where are odd functions, is an even function, are smooth -periodic functions, is a nonzero constant, and 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.
"Boundedness of Solutions for a Class of Sublinear Reversible Oscillators with Periodic Forcing." Abstr. Appl. Anal. 2013 1 - 18, 2013. https://doi.org/10.1155/2013/246343