中文摘要：

通过构造差分方程的加权伪反周期解,研究了一类含分段常变量中立型微分方程的加权伪反周期解的存在性,给出了所论方程的加权伪反周期解的存在唯一性条件。

英文摘要：

By means of weighted pseudo anti-periodic solutions of relevant difference equations, the existence for weighted pseudo antiperiodic solutions of differential equations with piecewise constant argument is studied. The conditions of existence and uniqueness for the weighted pseudo anti-periodic solutions are presented.