Ulam stability of first-order nonlinear impulsive dynamic equations

被引：3

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.

引用

页数：13

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