Boundedness in Nonlinear Asymmetric Oscillations

In this paper, the boundedness of all solutions of the nonlinear equation ( p(x′))′+(p-1)[α p(x+)−β p(x−)]+f(x)+g(x)=e(t) is discussed, where e(t) C7 is 2πp-periodic, f,g are bounded C6 functions, p(u)= u p−2u, p 2,α,β are positive constants, x+=max{x,0},x−=max{−x,0}.