Global attractivity of a nonautonomous logistic difference equation with delay

Consider the nonautonomous delay logistic difference equation where {pn}n≥0 is a sequence of nonnegative real numbers, {kn}n≥0 is a sequence of positive integers, n − kn is nondecreasing, limn→∞(n − kn) = ∞, and λ is a positive constant. We obtain new sufficient conditions for the global attractivity of the equilibrium λ of equation (1.1), which improve some recent results established in [1].