Work

Well-posedness of Nonlocal Impulsive Problems of Non-autonomous Evolution Equations With Delay

Year: 2025

Type: article

Abstract: This paper investigates the existence of extremal mild solutions for nonlocal impulsive problems of non-autonomous evolution equations with delay in ordered Banach spaces. By applying the perturbation technique and monotone iterative method in the presence of lower and upper solutions, we establish the existence of the minimal and maximal mild solutions under suitable monotonicity conditions and noncompactness measure requirements of nonlinear term. Furthermore, we prove the existence of at least one mild solution and obtain the uniqueness of mild solution between the lower and the upper solutions.

Source: Journal of Applied Analysis & Computation

DOI: 10.11948/20250196

Authors: Huanhuan Wang, Xiaoya Liu, Xuping Zhang

Institution: Northwest Normal 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 Gansu Province

Award: G4156309984