【摘要】 考虑具有正负系数的中立型时滞微分方程ddt[x (t) - P(t) x(t-τ) ]+ Q(t) x(t-δ) - R(t) x(t-σ) =0 ,　 t≥ t0 ,其中 P(t)∈ C([t0 ,∞ ) ,R) ,Q(t) ,R(t)∈ C([t0 ,∞ ) ,R+ ) ,τ,δ,σ∈ (0 ,∞ ) .获得了该方程零解一致稳定及渐近稳定的充分条件 ,它推广并改进了现有文献中的结论更多还原

【Abstract】 Small Consider the neutral differential equation with positive and negative coefficients d d t[x(t)-P(t)x(t-τ)]+Q(t)x(t-δ)-R(t)x(t-σ)=0, \ t≥t\-0,where \$P(t)∈C([t\-0,∞),R),Q(t),R(t)∈C([t\-0,∞),R\++),τ,δ,σ∈(0,∞).\$ This paper obtain sufficient conditons for the zero solution of this equation to be uniformly stable as well as asymptotically stable. Which extend and improve the all known results in the literature.更多还原