*Accepted Paper*

**Inserted:** 2 apr 2024

**Last Updated:** 25 jun 2024

**Year:** 2024

**Links:**
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**Abstract:**

In this note we will study three differential problems with a dynamic which will be represented by a self referred equation and a boundary condition which will be expressed as an integral constraint. We will prove that, under certain assumptions, there exists at least one solution of for all of these problems by using Schauder's fixed point theorem. In the end we will propose briefly some open problems.

**Keywords:**
Self referred equations, integrodifferential equations