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Sibirskii Matematicheskii Zhurnal, 2009, Volume 50, Number 3, Pages 680–686 (Mi smj1991)  
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
Full-text PDF (291 kB) Citations (11)
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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
English version:
Siberian Mathematical Journal, 2009, Volume 50, Issue 3, Pages 541–546
DOI: https://doi.org/10.1007/s11202-009-0060-1
Bibliographic databases:
UDC: 517.944+519.46
Language: Russian
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
Citation in format AMSBIB
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\by Yu.~A.~Chirkunov
\paper Systems of linear differential equations symmetric with respect to transformations nonlinear in a~function
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\vol 50
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\pages 680--686
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\pages 541--546
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    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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