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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 3, Pages 680–686
(Mi smj1991)
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This article is cited in 11 scientific papers (total in 11 papers)
Systems of linear differential equations symmetric with respect to transformations nonlinear in a function
Yu. A. Chirkunov Novosibirsk State University for Economics and Management, Novosibirsk
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, $\mathbf x$-autonomous operator, $\mathbf u$-nonlinear operator, $(\mathbf r,\mathbf l)$-pair, exclusive system, canonical system.
Received: 15.11.2008
Citation:
Yu. A. Chirkunov, “Systems of linear differential equations symmetric with respect to transformations nonlinear in a function”, Sibirsk. Mat. Zh., 50:3 (2009), 680–686; Siberian Math. J., 50:3 (2009), 541–546
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Abstract page: | 588 | Full-text PDF : | 122 | References: | 58 | First page: | 17 |
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