Boundedness of solutions for reversible systems

摘要

In this paper, we study the boundedness of all the solutions for the following second order nonlinear differential equation(ϕp(x′))′+f(x)ϕp(x′)+g(x)=e(t)′=ddtwhere ϕp(u)=|u|p−2u, p>1, f,g∈C∞ (R⧹{0}) and odd, e∈C∞(R/Z) is odd, g is subquasilinear: sgn(x)·g(x)→+∞, g(x)/ϕp(x)→0 as |x|→∞.