文章讨论了一类Volterra型积分微分方程解的存在性，运用Banach空间中不动点方法，得到两个定理给出方程存在不可数个有界正解的充分条件，拓展了一些已有结果。最后举例说明结论的可行性。

The paper deals with the existence of solutions for a class of Volterra integral-differential equations. By using the fixed point method in Banach space, two theorems were obtained to give sufficient conditions for the existence of uncountable bounded positive solutions of the equation. The conclusions generalize these results. Finally, an example is given to illustrate the application of the theorems.