Global Attractivity in a Variable Coefficient Nonlinear Delay Differential Equation

摘要

In this paper, we establish some sufficient conditions for the global attractivity of positive solutions of the following nonlinear delay differential equation with a variable coefficient x'(t)=p(t)[f(x(t-τ))-g(x(t))}, t≥0,where τ ∈ (0, ∞),p ∈ C[[0,∞), (0, ∞)] and f,g ∈ C[[0, ∞), [0, ∞)]. We also apply our main results to several differential equations derived from mathematical biology to obtain some new global attractivity results for these equations.