APPLICATIONS OF TANGENT TRANSFORMATIONS TO THE LINEARIZATION PROBLEM OF FOURTH-ORDER ORDINARY DIFFERENTIAL EQUATIONS
Linearization problem of ordinary differential equations by a new set of tangent transformations is considered in the paper. This set of transformations allows one to extend the set of transformations applied for the linearization problem. Criteria for fourth-order ordinary differential equations to be linearizable are obtained in a particular case; a linearization test and procedure for obtaining the linearizing transformations are provided in explicit forms.
linearization problem, tangent transformation, nonlinear ordinary differential equations.