scholarly journals Hyers–Ulam stability of a system of first order linear differential equations with constant coefficients

2006 ◽  
Vol 320 (2) ◽  
pp. 549-561 ◽  
Author(s):  
Soon-Mo Jung
Keyword(s):  
Differential Equations ◽  
Linear Differential Equations ◽  
Ulam Stability ◽  
Order Linear ◽  
First Order ◽  
Constant Coefficients ◽  
Linear Differential

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

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Ramdoss Murali ◽  
Arumugam Ponmana Selvan ◽  
Sanmugam Baskaran ◽  
Choonkil Park ◽  
Jung Rye Lee
Keyword(s):  
Differential Equations ◽  
Stability Constants ◽  
Linear Differential Equations ◽  
Ulam Stability ◽  
Transform Method ◽  
Order Linear ◽  
First Order ◽  
Constant Coefficients ◽  
Linear Differential

AbstractThe 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.

scholarly journals Hyers-Ulam Stability of the First-Order Matrix Differential Equations

2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Soon-Mo Jung
Keyword(s):  
Differential Equations ◽  
Variable Coefficients ◽  
Linear Differential Equations ◽  
Ulam Stability ◽  
Order Linear ◽  
First Order ◽  
Matrix Differential Equations ◽  
Homogeneous Matrix ◽  
Linear Differential ◽  
Matrix Differential

We prove the generalized Hyers-Ulam stability of the first-order linear homogeneous matrix differential equationsy→'(t)=A(t)y→(t). Moreover, we apply this result to prove the generalized Hyers-Ulam stability of thenth order linear differential equations with variable coefficients.

scholarly journals Mahgoub transform and Hyers-Ulam stability of $ n^{th} $ order linear differential equations

2021 ◽  
Vol 7 (4) ◽  
pp. 4992-5014
Author(s):  
S. Deepa ◽  
◽  
S. Bowmiya ◽  
A. Ganesh ◽  
Vediyappan Govindan ◽  
...  
Keyword(s):  
Differential Equations ◽  
Linear Differential Equations ◽  
Ulam Stability ◽  
Transform Method ◽  
Order Linear ◽  
Constant Coefficients ◽  
Linear Differential

<abstract><p>The main aim of this paper is to investigate various types of Hyers-Ulam stability of linear differential equations of $ n^{th} $ order with constant coefficients using the Mahgoub transform method. We also show the Hyers-Ulam constants of these differential equations and give some main results.</p></abstract>

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