Classification of 3rd order linear ODE up to equivalence (Q1356794)

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scientific article; zbMATH DE number 1019165
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Classification of 3rd order linear ODE up to equivalence
scientific article; zbMATH DE number 1019165

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    Classification of 3rd order linear ODE up to equivalence (English)
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    20 July 1997
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    The local classification of third order linear ordinary differential equations up to contact transformation is given. It is proved that the dimension of the symmetry algebra of any third order linear ordinary differential equation is equal to one of the numbers 10, 5, 4.
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    point transformation
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    equivalence problem
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    third order linear ordinary differential equations
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    contact transformation
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