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

被引：9

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

页码：1237 / 1250

页数：14

共 50 条

[1] HYERS-ULAM STABILITY OF LINEAR QUATERNION-VALUED DIFFERENTIAL EQUATIONS
Lv, Jiaojiao
Wang, Jinrong
Liu, Rui
[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 2023 (21) : 1 - 15
[2] Hyers-Ulam Stability of Linear Quaternion-Valued Differential Equations with Constant Coefficients via Fourier Transform
Lv, Jiaojiao
Kou, Kit Ian
Wang, JinRong
[J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (04)
[3] Hyers-Ulam Stability of Linear Quaternion-Valued Differential Equations with Two-Sided Constant Coefficients
Lv, Jiaojiao
Wang, JinRong
Liu, Kui
[J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (03)
[4] Hyers-Ulam Stability of Linear Quaternion-Valued Differential Equations with Constant Coefficients via Fourier Transform
Jiaojiao Lv
Kit Ian Kou
JinRong Wang
[J]. Qualitative Theory of Dynamical Systems, 2022, 21
[5] Hyers-Ulam Stability of Linear Homogeneous Quaternion-Valued Difference Equations
Wang, Jiangnan
Wang, JinRong
Liu, Rui
[J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2023, 22 (03)
[6] Hyers–Ulam Stability of Linear Quaternion-Valued Differential Equations with Two-Sided Constant Coefficients
Jiaojiao Lv
JinRong Wang
Kui Liu
[J]. Qualitative Theory of Dynamical Systems, 2024, 23
[7] Hyers–Ulam Stability of Linear Homogeneous Quaternion-Valued Difference Equations
Jiangnan Wang
JinRong Wang
Rui Liu
[J]. Qualitative Theory of Dynamical Systems, 2023, 22
[8] Hyers-Ulam stability of linear differential equations of second order with constant coefficient
Xue, Jianming
[J]. Xue, Jianming, 1600, Forum-Editrice Universitaria Udinese SRL (32): : 419 - 424
[9] Hyers-Ulam Stability to Linear Nonhomogeneous Quaternion-Valued Matrix Difference Equations via Complex Representation
Jiangnan Wang
JinRong Wang
Rui Liu
[J]. Qualitative Theory of Dynamical Systems, 2024, 23
[10] Hyers-Ulam Stability to Linear Nonhomogeneous Quaternion-Valued Matrix Difference Equations via Complex Representation
Wang, Jiangnan
Wang, Jinrong
Liu, Rui
[J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (01)

← 1 2 3 4 5 →