Using the properties of almost nonexpansive curves introduced by B. Djafari Rouhani, we study the asymptotic behavior of solutions of nonlinear functional differential equation du(t)/dt + Au(t)+ G(u)(t) □f(t), where A is a maximal monotone operator in a Hilbert space H, f ∈ L^1(0, ∞:H) and G:C([0, ∞):D(A))→L^1(0, ∞:H)is a given mapping.