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

共 50 条

[41] Existence results for first-order impulsive differential equations
1600, Academic Press Inc, San Diego, CA, USA (193):
[42] On Exact Controllability of First-Order Impulsive Differential Equations
Nieto, Juan J.
Tisdell, Christopher C.
ADVANCES IN DIFFERENCE EQUATIONS, 2010,
[43] EXISTENCE OF EXTREME SOLUTION TO FIRST-ORDER IMPULSIVE DIFFERENTIAL EQUATIONS WITH NONLINEAR BOUNDARY CONDITIONS
Huantao Zhu(Hunan College of Information
Annals of Applied Mathematics, 2011, (01) : 119 - 126
[44] On Exact Controllability of First-Order Impulsive Differential Equations
JuanJ Nieto
ChristopherC Tisdell
Advances in Difference Equations, 2010
[45] On the existence of solutions for nonlinear first-order implicit impulsive integro-differential equations
Lan, Heng-You
Cui, Yi-shun
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (5-6) : 1670 - 1677
[46] On the Hyers-Ulam Stability of the First-Order Difference Equation
Jung, Soon-Mo
Nam, Young Woo
JOURNAL OF FUNCTION SPACES, 2016, 2016
[47] Periodic boundary value problems for first-order impulsive dynamic equations on time scales
Geng, Fengjie
Xu, Yancong
Zhu, Deming
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 69 (11) : 4074 - 4087
[48] ON THE STABILITY OF FIRST ORDER IMPULSIVE EVOLUTION EQUATIONS
Wang, JinRong
Feckan, Michal
Zhou, Yong
OPUSCULA MATHEMATICA, 2014, 34 (03) : 639 - 657
[49] Uniform exponential stability of first-order dynamic equations with several delays
Braverman, Elena
Karpuz, Basak
APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (21) : 10468 - 10485
[50] Hyers-Ulam-Rassias Stability for Abel-Riccati Type First-Order Differential Equations
Basci, Yasemin
Ogrekci, Suleyman
Misir, Adil
GAZI UNIVERSITY JOURNAL OF SCIENCE, 2019, 32 (04): : 1238 - 1252

← 1 2 3 4 5 →