A linear integral equation and a linear integrodifferential equation, namely, two interesting counter examples with infinite periodic solutions are ingeniously given for illustrating some results of Burton to be false.

• 首先巧妙地给出一个线性积分方程和线性微分积分方程 ；即具有无限多个周期解的两个有趣的反例 ；用以说明 Burton的某些结果是不成立的 .