scholarly journals Mahgoub transform and Hyers-Ulam stability of first-order linear differential equations

2021 ◽  
pp. 1201-1218
Author(s):  
Soon-Mo Jung ◽  
Ponmana Selvan Arumugam ◽  
Murali Ramdoss
2015 ◽  
Vol 2015 ◽  
pp. 1-7
Author(s):  
Soon-Mo Jung

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.


2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Ramdoss Murali ◽  
Arumugam Ponmana Selvan ◽  
Sanmugam Baskaran ◽  
Choonkil Park ◽  
Jung Rye Lee

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.


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