Uniqueness of Solution for Impulsive Evolution Equation in Ordered Banach Spaces

This paper investigates the periodic boundary value problem for impulsive evolution equation in ordered Banach space. By applying the Poincaré mapping and monotone iterative method, we obtain the existence results of mild solutions and positive mild solutions for impulsive evolution equation. Further, we obtain the uniqueness of mild solution.

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Journal
Mathematics
Published
2025-08-05
DOI
https://doi.org/10.3390/math13152514
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

Uniqueness of Solution for Impulsive Evolution Equation in Ordered Banach Spaces

Weifeng Ma, Yongxiang Li
Mathematics
Nonlinear Differential Equations Analysis
article

Uniqueness of Solution for Impulsive Evolution Equation in Ordered Banach Spaces

Weifeng Ma, Yongxiang Li
article en

Abstract

This paper investigates the periodic boundary value problem for impulsive evolution equation in ordered Banach space. By applying the Poincaré mapping and monotone iterative method, we obtain the existence results of mild solutions and positive mild solutions for impulsive evolution equation. Further, we obtain the uniqueness of mild solution.

MathematicsVol. 13(15)
Shaanxi Xueqian Normal University (CN), Northwest Normal University (CN)
National Natural Science Foundation of China
Openalex Percentile: Top 71%
Nonlinear Differential Equations Analysis
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