The asymptotic
behavior of nonoscillatory solutions of a class of n-th order nonlinear functional
differential equations with deviating argument is investigated. Sufficient conditions
are provided which ensure that all nonoscillatory solutions (or all bounded
nonoscillatory solutions) of the equations under consideration approach zero as the
independent variable tends to infinity. The criteria obtained prove to apply to
equations with advanced argument as well as to equations with retarded
argument.