中文摘要：

将线性θ-方法用于求解D（α，β1，β2，β3，γ，δ）类非线性中立型延迟积分微分方程，结果表明A-稳定的线性θ-方法（也即1／2≤0≤1）能保持问题本身的渐近稳定性，数值实验验证了所获理论结果的正确性。

英文摘要：

Linear θ-methods are adapted for solving a class D （ α,β1,β2,β3,γ,δ） Of nonlinear neutral delay intego-differential equations （NDIDEs）. It is proved that an A-stable linear θ-method （i. e. 1/2≤ 0 ≤ 1 ） can preserve the asymptotic stability of the underlying systems of NDIDEs. A numerical test is given, which confirms the theoretieal results in the end.