Abstract
We consider the equivalence problem for underdetermined systems of ordinary differential equations. We present canonical forms for some types of autonomous systems linear in the derivatives. It is shown that, among three-dimensional autonomous systems linear in the derivatives, there are infinitely many locally nonequivalent systems.
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Original Russian Text © V.I. Elkin, 2009, published in Differentsial’nye Uravneniya, 2009, Vol. 45, No. 12, pp. 1687–1697.
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Elkin, V.I. Reduction of underdetermined systems of ordinary differential equations: I. Diff Equat 45, 1721–1731 (2009). https://doi.org/10.1134/S0012266109120027
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DOI: https://doi.org/10.1134/S0012266109120027