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中文摘要：
本文研究了二阶积分微分方程的周期边值问题，在反向上下解的条件下，利用Fredholm定理和比较原则得到其极解的存在性。
英文摘要：
This paper investigates the existence and approximation of solutions of periodic boundary value problems of second order integro-differential equation. Under the assumption of lower and upper solutions in the reverse order, the results are derived by using the notion of upper and lower solutions and the Fredholm theorem.
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