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Systems of linear differential equations symmetric with respect to transformations nonlinear in a function |
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| Authors: | Yu. A. Chirkunov |
| Affiliation: | (1) Novosibirsk State University of Economics and Control, Novosibirsk, Russia |
| Abstract: | We show that if a system of first order linear differential equations with constant coefficients admits an operator whose coordinates responsible for the transformation of independent variables depend on functions then it admits an operator whose coordinates responsible for the transformation of functions depend nonlinearly on functions. |
| Keywords: | system of first order linear differential equations with constant coefficients equivalence transform x-autonomous operator u-nonlinear operator (r, l)-pair exclusive system canonical system |
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