On the Ulam-Hyers stability of first order differential systems with nonlocal initial conditions

被引：53
作者：
Andras, Sz. [1 ]
Kolumban, J. J. [1 ]
机构：
[1] Univ Babes Bolyai, Fac Math & Comp Sci, Cluj Napoca 400084, Romania
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2013年 / 82卷
关键词：
Ulam-Hyers stability; First order differential system; Nonlocal initial conditions; Convergent to zero matrix; Fixed point theorem; Vector norm; EQUATIONS;
D O I：
10.1016/j.na.2012.12.008
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we investigate the Ulam-Hyers stability of first order differential systems with nonlocal initial conditions on compact intervals (in W-1,W-1(0, k)) and on noncompact intervals (in W-w(1,2)(0,infinity), with suitable weight function w). The novelty consists in the simultaneous use of vectorial norms, convergent to zero matrices, Sobolev spaces for studying the Ulam- Hyers stability of equations with nonlocal conditions on noncompact intervals. (C) 2013 Elsevier Ltd. All rights reserved.
引用
收藏
页码：1 / 11
页数：11
相关论文
共 50 条
  • [21] The ulam-hyers stability of an ordinary differential equation via gronwall lemmas
    Petruşel A.
    Rus I.A.
    Applied Set-Valued Analysis and Optimization, 2020, 2 (03): : 295 - 303
  • [22] Ulam-Hyers stability of fractional Langevin equations
    Wang, JinRong
    Li, Xuezhu
    APPLIED MATHEMATICS AND COMPUTATION, 2015, 258 : 72 - 83
  • [23] Existence and Ulam-Hyers stability of coupled sequential fractional differential equations with integral boundary conditions
    Mahmudov, Nazim I.
    Al-Khateeb, Areen
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2019, 2019 (1)
  • [24] Existence and Stability of Ulam-Hyers for Neutral Stochastic Functional Differential Equations
    Selvam, Arunachalam
    Sabarinathan, Sriramulu
    Pinelas, Sandra
    Suvitha, Vaidhiyanathan
    BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2024, 50 (01)
  • [25] Ulam-Hyers stability of elliptic partial differential equations in Sobolev spaces
    Andras, Szilard
    Meszaros, Alpar Richard
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 229 : 131 - 138
  • [26] On the Existence and Ulam-Hyers Stability of a New Class of Partial (φ, χ)-Fractional Differential Equations With Impulses
    Seemab, Arjumand
    Rehman, Mujeeb ur
    Feckan, Michal
    Alzabut, Jehad
    Abbas, Syed
    FILOMAT, 2021, 35 (06) : 1977 - 1991
  • [27] Ulam-Hyers stability of Caputo type fractional stochastic neutral differential equations
    Ahmadova, Arzu
    Mahmudov, Nazim, I
    STATISTICS & PROBABILITY LETTERS, 2021, 168
  • [28] Ulam-Hyers Stability of Pantograph Hadamard Functional Fractional Stochastic Differential Equations
    Li, Jun
    Tang, Pusen
    Liao, Feng
    Chen, Lin
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025,
  • [29] Ulam-Hyers stability of fractional Ito-Doob stochastic differential equations
    Mchiri, Lassaad
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (13) : 13731 - 13740
  • [30] Ulam-Hyers stability for conformable fractional integro-differential impulsive equations with the antiperiodic boundary conditions
    Wan, Fan
    Liu, Xiping
    Jia, Mei
    AIMS MATHEMATICS, 2022, 7 (04): : 6066 - 6083
12345