中文摘要：

研究自变量分段连续型比例延迟微分方程的配置方法，给出相应的配置格式，证明配置解的存在唯一性；对于m个任意的配置参数，研究配置方法的全局收敛性；当m个配置参数满足一定的正交条件时，讨论配置方法的全局超收敛性；数值算例验证了结论的正确性，数值试验表明：由于Matlab自身的舍入误差，其数值结果依赖于q的输入表示是否精确。

英文摘要：

The collocation method for pantograph differential equations with piecewise continuous ar- guments is mainly dealt with. First, the corresponding collocation formula is given, and the existence and uniqueness of the collocation solution are proved ; next, for any m collocation parameters, the global con- vergence of the collocation method is studied; then, when the rn collocation parameters satisfy some or- thogonality conditions, the global superconvergence of the collocation method is discussed; finally, some corresponding numerical experiments are given to illustrate the conclusion, and the numerical results show that due to the round-off error of the Matlab itself, the numerical results depend on whether the input ex- pression of q is accurate or not.