Uniqueness of Solution for Impulsive Evolution Equation in Ordered Banach Spaces

Weifeng Ma () and Yongxiang Li
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Weifeng Ma: College of Mathematics and Statistics, Shaanxi Xueqian Normal University, Xi’an 710070, China
Yongxiang Li: College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Mathematics, 2025, vol. 13, issue 15, 1-15

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.

Keywords: impulsive evolution equation; periodic solutions; monotone iterative method; compact semigroup; Poincaré mapping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2025
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