对一个具有分段连续型自变量的混合型的微分方程u'(t) = au (t) +bu([t])+cu([t+1/2]) 稳定性进行了分析。给出了解析解的表达式,得到了零解渐进稳定的条件。
The authors deal with the stability analysis of a mixed differential equation u'(t) = au (t) +bu([t])+cu([t+1/2]) with piecewise continuous arguments. The expression of the analytic solution is given, and the conditions under which the zero solution is asymptotically stable are obtained.