Geodesic
Systems of linear differential equations with non-$x$-autonomous basic Lie algebra
Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 2, pp. 112-123 Cet article a éte moissonné depuis la source Math-Net.Ru

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We obtain some necessary and sufficient conditions for the non-$x$-autonomy of the basic Lie algebra of a system of first-order linear differential equations with constant coefficients over the field of complex numbers. Using these results, we establish the $x$-autonomy of the basic Lie algebra of some systems of equations of mathematical physics.
Keywords: $x$-autonomy of the basic Lie algebra, canonical systems of linear differential equations, criteria of $x$-autonomy. 
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     author = {Yu. A. Chirkunov},
     title = {Systems of linear differential equations with non-$x$-autonomous basic {Lie} algebra},
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Yu. A. Chirkunov. Systems of linear differential equations with non-$x$-autonomous basic Lie algebra. Sibirskij žurnal industrialʹnoj matematiki, Tome 14 (2011) no. 2, pp. 112-123. http://geodesic.mathdoc.fr/item/SJIM_2011_14_2_a13/

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