| In this paper, We consider the differential equation with distributed deviating arguments [x（t）- Cx（t-r）]′+ f（t,∫-τ0x（t+s）du（s））=0,t≥t0.(1) Where C,r,τ ∈ R+ and 0 ≤C < 1,f(t,x) ∈ C(t0,∞],R),xf(t,x) > 0,x≠0. Sufficient conditions for the global asymptotic stability of the zero solution of (1) are obtained by investigating the asymptotic behaviors of the nonoscillatory solutions of (1) and then of the oscillatory solutions. |
