Systems of linear differential equations with non-<Emphasis Type="Italic">x</Emphasis>-autonomous basic Lie algebra |
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| Authors: | Email author" target="_blank">Yu?A?ChirkunovEmail author |
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| Institution: | 1.Novosibirsk State Technical University,Novosibirsk,Russia;2.Institute of Computational Technologies,Novosibirsk,Russia |
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| Abstract: | 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. |
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