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.
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References
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Original Russian Text Copyright © 2009 Chirkunov Yu. A.
The author was supported by the Russian Foundation for Basic Research (Grant 07-01-00489).
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Novosibirsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 50, No. 3, pp. 680–686, May–June, 2009.
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Chirkunov, Y.A. Systems of linear differential equations symmetric with respect to transformations nonlinear in a function. Sib Math J 50, 541–546 (2009). https://doi.org/10.1007/s11202-009-0060-1
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DOI: https://doi.org/10.1007/s11202-009-0060-1