This paper considers a pendulum equation with p-Laplacian (ϕp(x′))′+Gx′(t,x)=p(t) and impulsive effects. We find that some properties, such as boundedness of all solutions and Lagrange stability of equations, are preserved although there are impulses. When ∫01p(τ)dτ=0, by applying Moser’s twist theorem it can be proved that the equation possesses infinitely many invariant tori, which implies the existence of quasi-periodic solutions and therefore the boundedness of all solutions. However, when ∫01p(τ)dτ≠0, there are no invariant tori.
Wei et al. (Mon,) studied this question.