中文摘要：

将线性θ-方法用于求解一类非线性泛函微分与泛函方程，结果表明：在问题真解渐近稳定的条件下，A-稳定的线性θ-方法（即112≤θ≤1）是渐近稳定的．数值试验的结果验证了所获理论的正确性．

英文摘要：

Linear θ-methods are adapted for solving a class of nonlinear functional differ ential and functional equations （FDFEs）. It is proven that an A-stable linear θ-method （i. e. 1/2≤θ≤ 1） can preserve the asymptotic stability of the underlying systems of FDFEs. Nu merical tests are given that confirm the theoretical results in the end.