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Application of group analysis to classification of systems of three second-order ordinary differential equations - MaRDI portal

Application of group analysis to classification of systems of three second-order ordinary differential equations (Q2795273)

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scientific article; zbMATH DE number 6558654
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English
Application of group analysis to classification of systems of three second-order ordinary differential equations
scientific article; zbMATH DE number 6558654

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    Application of group analysis to classification of systems of three second-order ordinary differential equations (English)
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    18 March 2016
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    group classification
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    linear equations
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    admitted Lie group
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    equivalence transformation
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    A generalised system of three linear second-order ordinary differential equations is considered. A complete group classification of linear systems containing three equations and admitting a nontrivial generator is provided. Furthermore, it is shown that all such systems have one of the four forms.
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