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On the Euler matrix differential equation \(A_ 2t^ 2X''+A_ 1tX'+A_ 0X=0\) - MaRDI portal

On the Euler matrix differential equation \(A_ 2t^ 2X''+A_ 1tX'+A_ 0X=0\) (Q2644813)

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On the Euler matrix differential equation \(A_ 2t^ 2X''+A_ 1tX'+A_ 0X=0\)
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    On the Euler matrix differential equation \(A_ 2t^ 2X''+A_ 1tX'+A_ 0X=0\) (English)
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    1989
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    The author deals with the Cauchy problem for the Euler matrix differential equation, as in the title of this paper. The novelty consists in the fact that \(A_ 2\) is a singular matrix. One uses the Drazin inverse and the Moore-Penrose pseudoinverse of a square matrix.
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    Cauchy problem
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    Euler matrix differential equation
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    Drazin inverse
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    Moore-Penrose pseudoinverse
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