一类非线性中立型脉冲时滞微分方程解的渐近性

Asymptotic Behavior for a Class of Nonlinear Impulsive Neutral Delay Differential Equations

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→∞.