ON ASYMPTOTIC SOLUTIONS OF SYSTEMS OF DIFFERENTIAL-EQUATIONS WITH DEVIATING ARGUMENT IN CERTAIN CRITICAL CASES

Sufficient conditions are found for the existence of particular solutions of the system x(t) = f(x(t), x(t + t1) ,..., x(t + t(k))), x is-an-element-of R(n), that converge to the critical point x = 0 as t --> +infinity or as t --> -infinity, but not exponentially.