Our concern is to consider linear integral equations with two delays. A new result on necessary and sufficient conditions for the exponential stability is presented by careful study of the characteristic equation. Explicit expressions of limits of solutions in the critical case where integral equations lose exponential stability are also given by use of an asymptotic formula for solutions.

中文翻译：

---

具有两个时滞的线性积分方程的指数稳定性和渐近周期解

我们关注的是考虑具有两个时滞的线性积分方程。通过仔细研究特征方程，给出了关于指数稳定性的充要条件的新结果。在积分方程失去指数稳定性的临界情况下，还通过使用渐近公式来给出解极限的明确表达。