Work

Existence and Exponential Stability for a New Class of First-order Impulsive Evolution Equations

Year: 2025

Type: article

Abstract: The aim of this paper is to present systematic methods for analyzing the existence and the exponential stability of a new class of first-order impulsive evolution equations. We initially provide two existence results of mild solutions for the equations using two kinds of methods. Subsequently, we also explore the exponential stability of the equation. Lastly, we present some applications in differential hemivariational inequalities to demonstrate our main results.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20240477

Authors: Caijing Jiang, Fengzhen Long

Institution: Guangxi Minzu University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Natural Science Foundation of Guangxi Province

Award: G2176489477