# Conditional symmetry properties for ordinary differential equations

@inproceedings{Fatima2015ConditionalSP, title={Conditional symmetry properties for ordinary differential equations}, author={A. Fatima}, year={2015} }

This work deals with conditional symmetries of ordinary differential equations (ODEs). We refine the definition of conditional symmetries of systems of ODEs in general and provide an algorithmic viewpoint to compute such symmetries subject to root differential equations. We prove a proposition which gives important and precise criteria as to when the derived higher-order system inherits the symmetries of the root system of ODEs. We firstly study the conditional symmetry properties of linear nth… Expand

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