A kind of stricter Hyers-Ulam stability of second order linear differential equations of Caratheodory type

被引：7
|
作者：
Yang, Yue [1 ]
Meng, Fanwei [1 ]
机构：
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
APPLIED MATHEMATICS LETTERS | 2021年 / 115卷 / 115期
基金：
中国国家自然科学基金;
关键词：
Stricter Hyers-Ulam stability; Linear differential equation; Caratheodory type; CONSTANT;
D O I：
10.1016/j.aml.2020.106946
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of this article is to establish a kind of stricter Hyers-Ulam stability of second order linear differential equation of Caratheodory type. More explicitly, we prove that if x is an approximate solution satisfying a kind of stricter condition of the differential equation x ''(t) + b(1)x'(t) + b(0)x(t) = f (t) without the assumption of continuity of f(t), then there exists an exact solution of the differential equation near to x. (C) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页数：7
相关论文
共 50 条
  • [41] MAHGOUB TRANSFORM AND HYERS-ULAM STABILITY OF FIRST-ORDER LINEAR DIFFERENTIAL EQUATIONS
    Jung, Soon-Mo
    Arumugam, Ponmana Selvan
    Ramdoss, Murali
    JOURNAL OF MATHEMATICAL INEQUALITIES, 2021, 15 (03): : 1201 - 1218
  • [42] HYERS-ULAM STABILITY FOR GEGENBAUER DIFFERENTIAL EQUATIONS
    Jung, Soon-Mo
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2013,
  • [43] ON HYERS-ULAM STABILITY OF NONLINEAR DIFFERENTIAL EQUATIONS
    Huang, Jinghao H
    Jung, Soon-Mo
    Li, Yongjin
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2015, 52 (02) : 685 - 697
  • [44] Hyers-Ulam stability of hypergeometric differential equations
    Abdollahpour, Mohammad Reza
    Rassias, Michael Th
    AEQUATIONES MATHEMATICAE, 2019, 93 (04) : 691 - 698
  • [45] ON THE HYERS-ULAM STABILITY OF SECOND ORDER NONCANONICAL EQUATIONS WITH DEVIATING ARGUMENT
    Bicer, Emel
    Tunc, Cemil
    TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2023, 14 (02): : 151 - 161
  • [46] ON THE HYERS-ULAM STABILITY OF DELAY DIFFERENTIAL EQUATIONS
    Ogrekci, Suleyman
    Basci, Yasemin
    Misir, Adil
    MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2022, 85 : 133 - 142
  • [47] Ulam-Hyers stability of some linear differential equations of second order
    Ellahiani, Idriss
    Bouikhalene, Belaid
    EXAMPLES AND COUNTEREXAMPLES, 2023, 3
  • [48] HYERS-ULAM AND HYERS-ULAM-RASSIAS STABILITY OF FIRST-ORDER LINEAR DYNAMIC EQUATIONS
    Alghamdi, Maryam A.
    Aljehani, Alaa
    Bohner, Martin
    Hamza, Alaa E.
    PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, 2021, 109 (123): : 83 - 93
  • [49] On the Hyers-Ulam stability of the linear differential equation
    Popa, Dorian
    Rasa, Ioan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 381 (02) : 530 - 537
  • [50] Hyers-Ulam Stability of the First-Order Matrix Differential Equations
    Jung, Soon-Mo
    JOURNAL OF FUNCTION SPACES, 2015, 2015
12345