一阶非线性时标动态方程的Hyers-Ulam-Rassias稳定性  

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

作　　者：邱仰聪[1] 王其如[2] Qiu Yangcong;Wang Qiru(School of Humanities,Shunde Polytechnic,Guangdong Foshan 528333;School of Mathematics,Sun Yat-sen University,Guangzhou 510275)

机构地区：[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

出　　处：《数学物理学报（A辑）》2024年第2期465-475,共11页Acta Mathematica Scientia

基　　金：国家自然科学基金(12071491);广东高校科研项目(重点领域专项)(2021ZDZX4114)。

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.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.

关 键 词：一阶非线性时标动态方程 HYERS-ULAM-RASSIAS稳定性 Picard算子 

分 类 号：O175.13[理学—数学]