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Title: On first integrals of second-order ordinary differential equations
Authors: Meleshko, Sergey 
Moyo, Sibusiso 
Muriel, C.
Romero, J. L.
Guha, P.
Choudhury, A. G.
Keywords: Equivalence transformations;Linearization;ODEs;λ-Symmetry
Issue Date: 8-Jan-2013
Publisher: Springer
Source: Meleshko, S.V., Moyo, S., Muriel, C., Romero, J.L., Guha, P. and Choudhury, A.G. 'On first integrals of second-order ordinary differential equations. Journal of Engineering and Mathematics. 78, 1 (2013).
Abstract: Here we discuss first integrals of a particular representation associated with second-order ordinary differential equations. The linearization problem is a particular case of the equivalence problem together with a number of related problems such as defining a class of transformations, finding invariants of these transformations, obtaining the equivalence criteria, and constructing the transformation. The relationship between the integral form, the associated equations, equivalence transformations, and some examples are considered as part of the discussion illustrating some important aspects and properties.
Appears in Collections:Research Publications (Academic Support)

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