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- Ibragimov, Nail H., et al.
(författare)
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Linearization of third-order ordinary differential equations by point transformations.
- 2004
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Ingår i: Archives of ALGA. - Karlskrona; Sweden : ALGA publications, BTH. - 1652-4934. ; 1, s. 95-126
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Tidskriftsartikel (refereegranskat)abstract
- We present here the necessary and sufficient conditions for linearization of third-order equations by means of point transformations. We show that all third-order equations that are linearizable by point transformations are contained either in the class of equations which are linear in the second-order derivative, or in the class of equations which are quadratic in the second-order derivative. We provide the linearization test for each of these classes and describe the procedure for obtaining the linearizing point transformations as well as the linearized equation.
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