Hyers-Ulam Stability of Volterra Type Integro-Differential Euler Equations with Delay

被引：0
作者：
Shao, Jing [1 ]
Zheng, Zhaowen [2 ]
Tian, Siyu [1 ]
机构：
[1] Shenyang Univ, Coll Sci, Shenyang 110044, Liaoning, Peoples R China
[2] Guangdong Polytech Normal Univ, Sch Math & Syst Sci, Guangzhou 510665, Guangdong, Peoples R China
来源：
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2025年 / 32卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Volterra type integro-differential Euler equation; Hyers-Ulam stability; Hyers-Ulam-Rassias stability; Delay; Picard operator; DIFFERENTIAL EQUATIONS;
D O I：
10.1007/s44198-025-00271-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the Hyers-Ulam stability and the Hyers-Ulam-Rassias stability of Volterra type integro-differential Euler equation are studied. Using Gronwall type inequality and the fixed point approach, the Hyers-Ulam stability, Hyers-Ulam-Rassias stability of Volterra type integro-differential Euler equations are discussed in details under four mutually exclusive cases. Four examples are provided to illustrate applications of given results. The obtained results can be useful for applied researchers in numerous scientific areas.
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页数：19
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