Boundedness of solutions for a class of reversible systems

摘要

In this paper, we are concerned with the boundedness of all solutions for the following differential systemx′=−ϕp(y)+e(t),y′=ϕq(x)−f(x)ϕp(y)+f(x)e(t),where ϕr(s)=|s|r−2s, r>1, f(x) is odd, e(t)∈C4(R/Z) is even, max{1,p/[2(p−1)]}