Hyers–Ulam stability of first-order linear differential equations using Aboodh transform

被引：0
|
作者：
Ramdoss Murali
Arumugam Ponmana Selvan
Sanmugam Baskaran
Choonkil Park
Jung Rye Lee
机构：
[1] Sacred Heart College (Autonomous,PG and Research Department of Mathematics
[2] Sri Sai Ram Institute of Technology,Department of Mathematics
[3] Hanyang University,Research Institute for Natural Sciences
[4] Daejin University,Department of Data Science
来源：
Journal of Inequalities and Applications | / 2021卷
关键词：
Hyers–Ulam stability; Mittag-Leffler–Hyers–Ulam–Rassias stability; Aboodh transform; Linear differential equation; 34K20; 26D10; 39B82; 44A10; 34A40; 39A30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
The main aim of this paper is to investigate various types of Ulam stability and Mittag-Leffler stability of linear differential equations of first order with constant coefficients using the Aboodh transform method. We also obtain the Hyers–Ulam stability constants of these differential equations using the Aboodh transform and some examples to illustrate our main results are given.
引用
收藏
相关论文
共 50 条
  • [1] Hyers-Ulam stability of first-order linear differential equations using Aboodh transform
    Murali, Ramdoss
    Selvan, Arumugam Ponmana
    Baskaran, Sanmugam
    Park, Choonkil
    Lee, Jung Rye
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [2] 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
  • [3] Hyers-Ulam Stability of the First-Order Matrix Differential Equations
    Jung, Soon-Mo
    JOURNAL OF FUNCTION SPACES, 2015, 2015
  • [4] 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
  • [5] Hyers-Ulam stability of linear differential equations of first order
    Jung, SM
    APPLIED MATHEMATICS LETTERS, 2004, 17 (10) : 1135 - 1140
  • [6] Hyers-Ulam stability of linear differential equations of first order
    Wang, Guangwa
    Zhou, Mingru
    Sun, Li
    APPLIED MATHEMATICS LETTERS, 2008, 21 (10) : 1024 - 1028
  • [7] Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear quantum difference equations
    Hamza, Alaa E.
    Alghamdi, Maryam A.
    Alasmi, Suha A.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2024, 35 (03): : 336 - 347
  • [8] Hyers–Ulam and Hyers–Ulam–Rassias Stability of First-Order Nonlinear Dynamic Equations
    Maryam A. Alghamdi
    Mymonah Alharbi
    Martin Bohner
    Alaa E. Hamza
    Qualitative Theory of Dynamical Systems, 2021, 20
  • [9] On the Hyers-Ulam Stability of First-Order Impulsive Delay Differential Equations
    Zada, Akbar
    Faisal, Shah
    Li, Yongjin
    JOURNAL OF FUNCTION SPACES, 2016, 2016
  • [10] A necessary and sufficient condition for Hyers-Ulam stability of first-order periodic linear differential equations
    Fukutaka, Ryuma
    Onitsuka, Masakazu
    APPLIED MATHEMATICS LETTERS, 2020, 100
12345