Full probabilistic analysis of random first‐order linear differential equations with Dirac delta impulses appearing in control

2021 ◽  
Author(s):  
Juan C. Cortés ◽  
Sandra E. Delgadillo‐Alemán ◽  
Roberto A. Kú‐Carrillo ◽  
Rafael J. Villanueva
Keyword(s):  
Differential Equations ◽  
Probabilistic Analysis ◽  
Linear Differential Equations ◽  
Order Linear ◽  
Dirac Delta ◽  
First Order ◽  
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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