Perturbation of a nonautonomous problem in $\mathbb{R}^n$

TL;DR

This paper establishes a stability result for the long-term behavior of a perturbed nonautonomous evolution equation in Euclidean space, driven by a maximal monotone operator, contributing to the understanding of dynamic stability in such systems.

Contribution

It provides a novel stability theorem for nonautonomous evolution equations with perturbations, expanding the theoretical framework for analyzing their asymptotic dynamics.

Findings

Proved stability of asymptotic dynamics under perturbations.

Extended existing theory to nonautonomous systems in $\

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Abstract

In this paper we prove a stability result about the asymptotic dynamics of a perturbed nonautonomous evolution equation in $\mathbb{R}^n$ governed by a maximal monotone operator.