HYERS-ULAM STABILITY FOR LINEAR QUATERNION-VALUED DIFFERENTIAL EQUATIONS WITH CONSTANT COEFFICIENT

被引：10
|
作者：
Chen, Dan [1 ]
Feckan, Michal [2 ]
Wang, JinRong [1 ]
机构：
[1] Guizhou Univ, Dept Math, Guiyang, Peoples R China
[2] Comenius Univ, Dept Math Anal & Numer Math, Bratislava, Slovakia
来源：
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS | 2022年 / 52卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Hyers-Ulam stability; linear quaternion-valued differential equations; LAPLACE TRANSFORM; EULER;
D O I：
10.1216/rmj.2022.52.1237
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study Hyers-Ulam stability for linear differential equations in the sense of quaternion-valued framework. This shows that Laplace transformation is also valid for finding the approximate solution for linear quaternion-valued differential equations.
引用
收藏
页码：1237 / 1250
页数：14
相关论文
共 50 条
  • [41] Hyers-Ulam Stability of Linear Differential Equations of First Order, I
    Jung, Soon-Mo
    INTERNATIONAL JOURNAL OF APPLIED MATHEMATICS & STATISTICS, 2007, 7 (F07): : 96 - 100
  • [42] Applications of the Tarig Transform and Hyers-Ulam Stability to Linear Differential Equations
    Chitra, L.
    Alagesan, K.
    Govindan, Vediyappan
    Saleem, Salman
    Al-Zubaidi, A.
    Vimala, C.
    MATHEMATICS, 2023, 11 (12)
  • [43] Invariance of Hyers-Ulam stability of linear differential equations and its applications
    Choi, Ginkyu
    Jung, Soon-Mo
    ADVANCES IN DIFFERENCE EQUATIONS, 2015,
  • [44] Hyers-Ulam stability of linear differential equations of first order, III
    Jung, SM
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2005, 311 (01) : 139 - 146
  • [45] Hyers-ulam stability of linear differential equations of first order,I
    Jung, Soon-Mo
    International Journal of Applied Mathematics and Statistics, 2007, 7 (FO7): : 96 - 100
  • [46] Hyers-Ulam stability of linear differential equations of first order, II
    Jung, S. -M.
    APPLIED MATHEMATICS LETTERS, 2006, 19 (09) : 854 - 858
  • [47] Hyers-Ulam stability of the linear recurrence with constant coefficients
    Popa, Dorian
    ADVANCES IN DIFFERENCE EQUATIONS, 2005, 2005 (02) : 101 - 107
  • [48] Hyers-Ulam stability of the linear recurrence with constant coefficients
    Dorian Popa
    Advances in Difference Equations, 2005
  • [49] Hyers-ulam stability for linear equations of higher orders
    Brzdek, J.
    Popa, D.
    Xu, B.
    ACTA MATHEMATICA HUNGARICA, 2008, 120 (1-2) : 1 - 8
  • [50] Hyers-Ulam stability of some partial differential equations
    Lungu, Nicolaie
    Popa, Dorian
    CARPATHIAN JOURNAL OF MATHEMATICS, 2014, 30 (03) : 327 - 334
12345