Asymptotic stability of certain neutral differential equations

Sufficient conditions for all solutions of the neutral differential equations of the form ddt(x(t) + c(t)x(t − τ)) + p(t)x(t) + q(t)x(t − σ) = 0 to approach zero as t → ∞ are established. Some applications to neutral logistic equations and neural networks of neutral type are also presented.