中文摘要：

将单支方法用于求解一类刚性中立型延迟微分方程,结果表明：在问题真解稳定（或渐近稳定）的条件下,A-稳定的单支方法是数值稳定的,强A-稳定的单支方法是渐近稳定的.

英文摘要：

One-leg methods are adapted for solving a class of stiff neutral delay differential equations.It is proven that A-stable one-leg methods are numerically stable and strongly A-stable one-leg methods are asymptotically stable under suitable conditions.