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dc.contributor.advisorLeach, Peter Gavin Lawrence.
dc.creatorMoyo, Sibusiso.
dc.date.accessioned2012-02-21T06:25:39Z
dc.date.available2012-02-21T06:25:39Z
dc.date.created1997
dc.date.issued1997
dc.identifier.urihttp://hdl.handle.net/10413/5061
dc.descriptionThesis (M.Sc.)-University of Natal, Durban, 1997.en
dc.description.abstractThe Lie theory of extended groups is a practical tool in the analysis of differential equations, particularly in the construction of solutions. A formalism of the Lie theory is given and contrasted with Noether's theorem which plays a prominent role in the analysis of differential equations derivable from a Lagrangian. The relationship between the Lie and Noether approach to differential equations is investigated. The standard separation of Lie point symmetries into Noetherian and nonNoetherian symmetries is shown to be irrelevant within the context of nonlocality. This also emphasises the role played by nonlocal symmetries in such an approach.en
dc.language.isoenen
dc.subjectTheses--Mathematics.en
dc.subjectLie groups.en
dc.subjectDifferential equations--Numerical solutions.en
dc.subjectLie algebras.en
dc.subjectSymmetry (Physics)en
dc.subjectCalculus of variations.en
dc.titleNoether's theorem and first integrals of ordinary differential equations.en
dc.typeThesisen


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