scholarly journals Power series solution of first order matrix differential equations

2014 ◽  
Vol 13 (3) ◽  
pp. 123-128 ◽  
Author(s):  
Stanislaw Kukla ◽  
◽  
Izabela Zamorska ◽  
Keyword(s):  
Power Series ◽  
Differential Equations ◽  
Series Solution ◽  
Power Series Solution ◽  
First Order ◽  
Order Matrix ◽  
Matrix Differential Equations ◽  
Matrix 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.

scholarly journals On the Approximated Solution of a Special Type of Nonlinear Third-Order Matrix Ordinary Differential Problem

Mathematics ◽  
2021 ◽  
Vol 9 (18) ◽  
pp. 2262
Author(s):  
Emilio Defez ◽  
Javier Ibáñez ◽  
José M. Alonso ◽  
Michael M. Tung ◽  
Teresa Real-Herráiz
Keyword(s):  
Differential Equations ◽  
Numerical Test ◽  
Test Problems ◽  
Science And Engineering ◽  
Third Order ◽  
Differential Problem ◽  
Order Matrix ◽  
Engineering Problems ◽  
Matrix Differential Equations ◽  
Matrix Differential

Matrix differential equations are at the heart of many science and engineering problems. In this paper, a procedure based on higher-order matrix splines is proposed to provide the approximated numerical solution of special nonlinear third-order matrix differential equations, having the form Y(3)(x)=f(x,Y(x)). Some numerical test problems are also included, whose solutions are computed by our method.

Higher order matrix differential equations with singular coefficient matrices

2015 ◽  
Author(s):  
V. C. Fragkoulis ◽  
I. A. Kougioumtzoglou ◽  
A. A. Pantelous ◽  
A. Pirrotta
Keyword(s):  
Differential Equations ◽  
Higher Order ◽  
Singular Coefficient ◽  
Order Matrix ◽  
Matrix Differential Equations ◽  
Matrix Differential
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