Asymptotic behavior of a third-order nonlinear differential equation

Consider the third-order nonlinear differential equation x + ψ(x,x )x + f (x,x ) = p(t), (0.1) where ψ,f,fx ∈ C(R × R,R) and p ∈ C([0,∞),R). We obtain sufficient conditions for every solution of the equation to be bounded; we also establish criteria for every solution of the equation to converge to zero.  2003 Elsevier Inc. All rights reserved.