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Linearization of third-order ordinary differential equations u'''=f(x,u,u',u') via point transformations
(
John Wiley and Sons Ltd
, 2018 , Article)
The linearization problem for scalar third-order ordinary differential equations via point transformations was solved partially in the works of Al-Dweik et al by the use of the Cartan equivalence method. In order to solve ...
Invariants of third‐order ordinary differential equations y′′′=f(x,y,y′,y′′) via point transformations
(
John Wiley and Sons Ltd
, 2016 , Article)
A new systematic method to find the relative invariant differentiation operators is developed. We incorporate this new approach with Lie's infinitesimal method to study the general class y′′′ = f(x, y, y′, y′′) under general ...