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An Efficient Method for Solving Systems of Linear Ordinary and Fractional Differential Equations

Bulletin of the Malaysian Mathematical Sciences Society, 2015
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Didgar, Mohsen, Ahmadi, Nafiseh
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On the reducibility of systems of two linear first-order ordinary differential equations

Monatshefte für Mathematik, 2020
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Ordinary Differential Equations and Linear Systems of Ordinary Differential Equations

2022
Mohammad Ashraf   +2 more
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A numerical method for solving a system of nonautonomous linear ordinary differential equations

Applied Mathematics and Computation, 2005
A one-step iteration method is presented for initial value problems, based on the solution of the autonomous linear systems. Considering, that the solutions of the autonomous linear systems, are determined through the spectrum of eigenvalues of the matrix of coefficients of the system, the proposed method uses the eigenvalues of the matrix \(A(x ...
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Note on the Algebraic Aspect of the Integration of a System of Ordinary Linear Differential Equations

Journal of Mathematical Physics, 1961
In this note the Lie algebra generated by the coefficient matrix of a system of ordinary, linear, first-order differential equations is considered. A systematic discussion, based on some well-known results in the theory of Lie albegras, is given for the reduction of the problem of integration of such a system.
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SOLUTION OF SOME LINEAR SYSTEMS OF ORDINARY DIFFERENTIAL EQUATIONS WITH VARIABLE COEFFICIENTS

Advances in Differential Equations and Control Processes, 2022
Urdaletova, Anarkul   +2 more
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