【摘要】 研究强迫时滞微分方程x′(t) =p(t) 1-ex(t-τ)1+λex(t-τ) +r(t)t≥ 0 (1)的全局吸引性 ,其中p(t) ∈C([0 ,+∞ ) ,(0 ,+∞ ) ) ,τ >0 ,λ>0 .获得了保证每一解收敛于 0的充分条件 .定理 1　假设p(t) ,r(t) ,0 <λ≤ 1满足∫+∞0 p(t)dt =+∞　　∫+∞0 r(t)dt　收敛　　limt∞r(t)p(t) =0且存在δ >0 ,对充分大的t有∫tt-τp(s)ds≤δ(1+λ)　　　 (δ- 12 ) (δ- λ1+λ) ≤ 1则 (1)的每一解x(t)当t +∞时趋于更多还原

【Abstract】 The author we considers the global attractivity of zero solution of the following forced delay differential equation. x′(t)=p(t)1-e x(t-x) 1+λe t-τ +r(t), t≥0 where p(t)∈C([0, +∞), (0, +∞)), τ>0, λ>0. Some sufficient conditions that guarantee every solution converge to zero are obtained. And many known results are generated. [WT5HZ]更多还原