On 2D integro-differential systems. Stability and sensitivity analysis

TL;DR

This paper investigates a two-dimensional integro-differential system, establishing conditions for solutions and demonstrating the system's stability and robustness using variational methods.

Contribution

It provides new sufficient conditions for existence, uniqueness, stability, and robustness of solutions to 2D integro-differential systems.

Findings

Established conditions for solution existence and uniqueness

Proved the system's stability and robustness

Applied variational methods for analysis

Abstract

In the paper a two-dimensional integro-differential system is considered. Using some variational methods we give sufficient conditions for the existence and uniqueness of a solution to the considered system. Moreover, we show that the system is stable and robust.