Linearization of third-order ordinary differential equations by point and contact transformations
By Nail H. Ibragimov, S. Meleshko. 2005
102 citations recorded by the source corpus.
We present here the solution of the problem on linearization of third-order ordinary differential equations by means of point and contact transformations. We provide, in explicit forms, the necessary and sufficient conditions for linearization, the equations for determining the linearizing point and contact transformations as well as the coefficients of the resulting linear equations.
Subfields: Computational Theory and Mathematics, Mechanics of Materials, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/bef41a1286700acdbafcb2c7232c2f554d312c46
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In Computational Theory and Mathematics
In Mechanics of Materials
In Numerical Analysis
Citations in the corpus
- Linearization criteria for a system of second-order quadratically semi-linear ordinary differential equations (2007, background): “These are also of current interest both for scalar and systems of ODEs (see, e.g., [5, 6 , 12]).”