We calculate in detail the conditions which allow the most general third order ordinary differential equation to be linearised inX ′′′(T) = 0 under the transformation X(T) = F (x, t), dT = G(x, t)dt. Further generalisations are considered. Subject Classification (AMS 2000): 34A05, 34A25, 34A34. Key words and phrases: Nonlinear ordinary differential equations
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Abstract. The linearization problem for nonlinear second-order ODEs to the Laguerre form by means of...
For a nonlinear ordinary differential equation solved with respect to the highest order derivative a...
We calculate in detail the conditions which allow the most general third-order ordinary differential...
We discuss the linearization problem of third-order ordinary differential equation under the general...
We study the linearization of a class of Li´enard type nonlinear second-order ordinary differential ...
In this article, the linearization problem of fifth-order ordinary differential equation is presente...
AbstractWe present here the solution of the problem on linearization of third-order ordinary differe...
The linearization problem for scalar third-order ordinary differential equations via point transform...
We present here, in compact form, the necessary and sufficient conditions for linearization of third...
The subject of this article are third-order differential equations that may be linearized by a varia...
We study the linearization of nonlinear second-order ordinary differential equations from the point ...
Sundman symmetries arise from more general transformations than do point or contact symmetries. This...
Solving nonlinear ordinary differential equations is one of the fundamental and practically importan...
Transformations of differential equations to other equivalent equations play a central role in many ...
We introduce a method for finding general solutions of third-order nonlinear differential equations ...
Abstract. The linearization problem for nonlinear second-order ODEs to the Laguerre form by means of...
For a nonlinear ordinary differential equation solved with respect to the highest order derivative a...
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