Calculus of Variations and Geometric Measure Theory

G. Chiriatti - M. Fasiello - R. Grande - E. Pascali

Self referred equations with an integral boundary condition

created by grande on 02 Apr 2024



Inserted: 2 apr 2024
Last Updated: 2 apr 2024

Year: 2024
Links: preprint


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