Boundedness of solutions for nonlinear oscillations

摘要

The boundedness of all the solutions for nonlinear equation(ϕp(x′))′+αϕp(x+)−βϕp(x−)+f(x)=e(t)is proved, where α−1/p+β−1/p=2w−1, w∈R+⧹Q, f is bounded, e(t)∈C6 is 2πp-periodic.