Calculus of Variations and Geometric Measure Theory

R. Grande

Existence of Solutions for Systems of Self-Referred Equations with Integral Boundary Conditions

created by grande on 07 Dec 2025
modified on 12 Mar 2026

[BibTeX]

Preprint

Inserted: 7 dec 2025
Last Updated: 12 mar 2026

Year: 2025
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Abstract:

In this paper we study a class of self‑referred differential equations systems with integral boundary conditions. The existence of a positive and bounded solution for these problems is proved using functional analysis tools and Schauder's fixed point theorem under suitable assumptions. This work extends recent results on self-referred equations and raises some new open problems.

Keywords: Differential equations, functional equations, integral boundary conditions