一阶非线性时标动态方程的 Hyers-Ulam-Rassias 稳定性

数学物理学报 ›› 2024, Vol. 44 ›› Issue (2): 465-475.

一阶非线性时标动态方程的 Hyers-Ulam-Rassias 稳定性

邱仰聪¹(),王其如^2,^*()

¹顺德职业技术学院人文学院广东佛山 528333
²中山大学数学学院广州 510275

收稿日期:2023-03-22 修回日期:2023-10-07 出版日期:2024-04-26 发布日期:2024-04-07
通讯作者: * 王其如, Email:mcswqr@mail.sysu.edu.cn
作者简介:邱仰聪，Email:q840410@qq.com
基金资助:
国家自然科学基金(12071491);广东高校科研项目(重点领域专项)(2021ZDZX4114)

Hyers-Ulam-Rassias Stability of First-Order Nonlinear Dynamic Equations on Time Scales

Qiu Yangcong¹(),Wang Qiru^2,^*()

¹School of Humanities, Shunde Polytechnic, Guangdong Foshan 528333
²School of Mathematics, Sun Yat-sen University, Guangzhou 510275

Received:2023-03-22 Revised:2023-10-07 Online:2024-04-26 Published:2024-04-07
Supported by:
NSFC(12071491);Special Project in Key Fields of Colleges in Guangdong Province(2021ZDZX4114)

摘要/Abstract

摘要：

利用 Picard 算子和动态不等式, 探讨了一类形式更普遍的一阶非线性时标动态方程的 Hyers-Ulam-Rassias 稳定性, 并且提供三个例子说明这些结论的应用.

关键词: 一阶非线性时标动态方程, Hyers-Ulam-Rassias 稳定性, Picard 算子

Abstract:

In this paper, by employing the Picard operator and dynamic inequalities, we investigate Hyers-Ulam-Rassias stability of a class of first-order nonlinear dynamic equations on time scales, which is more general than the equations discussed in the references. Three examples are presented to illustrate the applications of the conclusions.

Key words: First-order nonlinear dynamic equations on time scales, Hyers-Ulam-Rassias stability, Picard operator

中图分类号:

O175.13

邱仰聪, 王其如. 一阶非线性时标动态方程的 Hyers-Ulam-Rassias 稳定性[J]. 数学物理学报, 2024, 44(2): 465-475.

Qiu Yangcong, Wang Qiru. Hyers-Ulam-Rassias Stability of First-Order Nonlinear Dynamic Equations on Time Scales[J]. Acta mathematica scientia,Series A, 2024, 44(2): 465-475.

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