Ulam stability of first-order nonlinear impulsive dynamic equations

被引：1
|
作者：
Scindia, Pallavi [1 ]
Tikare, Sanket [2 ]
El-Deeb, Ahmed A. [3 ]
机构：
[1] COEP Technol Univ, Dept Math, Pune 411005, Maharashtra, India
[2] Ramniranjan Jhunjhunwala Coll, Dept Math, Mumbai 400086, Maharashtra, India
[3] Al Azhar Univ, Fac Sci, Dept Math, Cairo 11884, Egypt
来源：
BOUNDARY VALUE PROBLEMS | 2023年 / 2023卷 / 01期
关键词：
Dynamic equations; Hyers-Ulam stability; Hyers-Ulam-Rassias stabilty; Impulses; Inequality; Time scales; HYERS-ULAM;
D O I：
10.1186/s13661-023-01752-z
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is devoted to the investigation of Ulam stability of first-order nonlinear impulsive dynamic equations on finite-time scale intervals. Our main objective is to formulate sufficient conditions under which the class of first-order nonlinear impulsive dynamic equations on time scales we consider exhibits Ulam stability. Our methods rely on the extended integral inequality on time scales for piecewise-continuous functions. We provide an example to support the validity of the results obtained.
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页数：13
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