Ulam's type stability of impulsive ordinary differential equations

被引：223

作者：

Wang, JinRong ^{[1
]}

Feckan, Michal ^{[2
,3
]}

Zhou, Yong ^{[4
]}

机构：

[1] Guizhou Univ, Dept Math, Guiyang 550025, Guizhou, Peoples R China

[2] Comenius Univ, Fac Math Phys & Informat, Dept Math Anal & Numer Math, Bratislava, Slovakia

[3] Slovak Acad Sci, Inst Math, Bratislava 81473, Slovakia

[4] Xiangtan Univ, Dept Math, Xiangtan 411105, Hunan, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2012年 / 395卷 / 01期

关键词：

Impulsive ordinary differential equations; Ulam's type stability; 1ST-ORDER;

D O I：

10.1016/j.jmaa.2012.05.040

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce four Ulam's type stability concepts for impulsive ordinary differential equations. By applying the integral inequality of Gronwall type for piecewise continuous functions, Ulam's type stability results for impulsive ordinary differential equations are obtained. An example is also provided to illustrate our results. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：258 / 264

页数：7

共 50 条

[41] Ulam Stability of Fractional Impulsive Differential Equations with Riemann-Liouville Integral Boundary Conditions
Abbas, Mohamed I.
JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES, 2015, 50 (05): : 209 - 219
[42] Existence results and Ulam-Hyers stability to impulsive coupled system fractional differential equations
Belbali, Hadjer
Benbachir, Maamar
TURKISH JOURNAL OF MATHEMATICS, 2021, 45 (03) : 1368 - 1385
[43] Ulam stability of fractional impulsive differential equations with Riemann-Liouville integral boundary conditions
Mohamed I. Abbas
Journal of Contemporary Mathematical Analysis, 2015, 50 : 209 - 219
[44] PID-type iterative learning control for impulsive ordinary differential equations
Zhuoyan Gao
Shengda Liu
JinRong Wang
Journal of Applied Mathematics and Computing, 2017, 54 : 41 - 55
[45] PID-type iterative learning control for impulsive ordinary differential equations
Gao, Zhuoyan
Liu, Shengda
Wang, JinRong
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2017, 54 (1-2) : 41 - 55
[46] Ulam's Type Stability of Hadamard Type Fractional Integral Equations
Wang, JinRong
Lin, Zeng
FILOMAT, 2014, 28 (07) : 1323 - 1331
[47] Razumikhin type stability theorems for impulsive functional differential equations
Shen, JH
Yan, JR
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1998, 33 (05) : 519 - 531
[48] ON COMPARISON THEOREMS OF STABILITY BETWEEN LINEAR SYSTEMS OF ORDINARY, IMPULSIVE AND DIFFERENCE EQUATIONS AND LINEAR SYSTEMS OF GENERALIZED ORDINARY DIFFERENTIAL EQUATIONS
Ashordia, M.
Kekelia, N.
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2006, 39 : 143 - 148
[49] Ulam-type stability for Caputo-type fractional delay differential equations
Hristova, Snezhana
DEMONSTRATIO MATHEMATICA, 2025, 58 (01)
[50] Ulam’s stability for some linear conformable fractional differential equations
Sen Wang
Wei Jiang
Jiale Sheng
Rui Li
Advances in Difference Equations, 2020

← 1 2 3 4 5 →