Some properties of nonoscillating solutions of functional-differential equations ofn-th order

A functional-differential equation ofn-th order is considered, wheren≥2,m≥1 are integers andA _t/^t: C(t₀, ∞), R)→ R, i=1,2,...,m are functionals defined for everyt∈t ₀, ∞). Sufficient conditions have been found for which all bounded non-oscillatory solutions and all non-oscillatory solutions of the functional-differntial equation tend to zero fort→∞.