一类抽象非自治脉冲发展方程的Lipschitz伪轨跟踪性

吉林大学学报(理学版) ›› 2025, Vol. 63 ›› Issue (6): 1543-1548.

一类抽象非自治脉冲发展方程的Lipschitz伪轨跟踪性

肖阳

西北师范大学数学与统计学院, 兰州 730070

收稿日期:2025-01-03 出版日期:2025-11-26 发布日期:2025-11-26
通讯作者: 肖阳 E-mail:2891620801@qq.com

Lipschitz Pseudo-orbit Shadowing Property for a Class of Abstract Non-autonomous Impulsive Evolution Equations

XIAO Yang

College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, China

Received:2025-01-03 Online:2025-11-26 Published:2025-11-26

摘要/Abstract

摘要： 在Banach空间研究一类抽象非自治脉冲发展方程, 用压缩映射原理在较弱条件下证明该问题的Lipschitz伪轨跟踪性. 所得结果不仅适用于特殊情形, 而且对一般方程也具有普适性.

关键词: 脉冲发展方程, Lipschitz伪轨跟踪性, 指数二分性

Abstract: The author investigated a class of abstract non-autonomous impulsive evolution equations in Banach spaces and proved the
Lipschitz pseudo-orbit shadowing property for the problem under relatively weak conditions by using the contraction mapping principle. The obtained results are not only applicable to specific cases, but also have universality for general equations.

Key words: impulsive evolution equation, Lipschitz pseudo-orbit shadowing property, exponential dichotomy

中图分类号:

O175.15

肖阳. 一类抽象非自治脉冲发展方程的Lipschitz伪轨跟踪性[J]. 吉林大学学报(理学版), 2025, 63(6): 1543-1548.

XIAO Yang. Lipschitz Pseudo-orbit Shadowing Property for a Class of Abstract Non-autonomous Impulsive Evolution Equations[J]. Journal of Jilin University Science Edition, 2025, 63(6): 1543-1548.