Submitted Paper

Inserted: 12 mar 2026

Year: 2026
Links: link

Abstract:

We study a nonlinear integro-differential equation with memory and a nonlocal energy constraint. We will use a fixed point approach and prove, via the Schauder fixed point theorem, that under suitable assumptions the problem admits at least one solution. Compared to previous papers, we will work in a more regular function space and impose new structural assumptions.

Keywords: Differential equations, Differential equations, integral boundary conditions, functional equations