scholarly journals Ulam stability of linear differential equations using Fourier transform

2020 ◽  
Vol 5 (2) ◽  
pp. 766-780 ◽  
Author(s):  
Murali Ramdoss ◽  
◽  
Ponmana Selvan-Arumugam ◽  
Choonkil Park ◽  
Keyword(s):  
Fourier Transform ◽  
Differential Equations ◽  
Linear Differential Equations ◽  
Ulam Stability ◽  
Linear Differential

scholarly journals Bounds for solutions of linear differential equations and Ulam stability

2020 ◽  
Vol 21 (2) ◽  
pp. 653
Author(s):  
Florina Blaga ◽  
Laura Mesaroş ◽  
Dorian Popa ◽  
Georgiana Pugna ◽  
Ioan Raşa
Keyword(s):  
Differential Equations ◽  
Linear Differential Equations ◽  
Ulam Stability ◽  
Linear Differential

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.

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