Boundedness of solutions for a class of impact oscillators with time-denpendent polynomial potentials

Daxiong Piao, Xiang Sun

In this paper, we consider the boundedness of solutions for a class of impact oscillators $$ \{{array}{ll} \displaystyle \ddot{x}+x^{2n+1}+\sum_{i=0}^{2n}p_{i}(t)x^{i}=0,& \quad {\…