该文研究具有正负系数的非线性中立型脉冲时滞微分方程{[x(t)-c(t)x(t-τ)]'+p(t)f(x(t-δ))-q(t)f(x(t-σ))=0,t≥t0,t≠k,x(tk)=bkx(tk^)+(1-bk)(∫tk tk-δ p(s+δ)f(x(s))ds-∫tk tk-σ q(s+σ)f(x(s))ds),k=1,2,3,…,获得了该方程的每一个解当t→∞时趋于一个常数的充分条件.
This paper is concerned with the nonlinear impulsive neutral delay differential equation with positive and negative coefficients, {[x(t)-c(t)x(t-τ)]'+p(t)f(x(t-δ))-q(t)f(x(t-σ))=0,t≥t0,t≠k,x(tk)=bkx(tk^)+(1-bk)(∫tk tk-δ p(s+δ)f(x(s))ds-∫tk tk-σ q(s+σ)f(x(s))ds),k=1,2,3,…, Sufficient conditions are obtained for every solution of the above equation tending to a constant as t→∞.