The aim of this paper is to investigate the existence, uniqueness and continuous dependence of solutions for a class of third order iterative differential equations with integral boundary conditions. The method applied here is based on Schauder’s fixed point theorem. The main idea consists to convert the considered equation into an integral one before using the fixed point theorem. Moreover, an example is given to illustrate our main results.

中文翻译：

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具有积分边界条件的迭代三点边值问题的有界正解

本文的目的是研究一类具有积分边界条件的三阶迭代微分方程解的存在性，唯一性和连续依赖性。此处应用的方法基于Schauder不动点定理。主要思想是在使用不动点定理之前将考虑的方程式转换为一个积分方程式。此外，举一个例子来说明我们的主要结果。