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Linearization of third-order ordinary differential equations by point transformations.
Blekinge Tekniska Högskola, Institutionen för hälso- och naturvetenskap.
Ansvarlig organisasjon
2004 (engelsk)Inngår i: Archives of ALGA, ISSN 1652-4934, Vol. 1, s. 95-126Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

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.

sted, utgiver, år, opplag, sider
Karlskrona; Sweden: ALGA publications, BTH , 2004. Vol. 1, s. 95-126
Emneord [en]
linearization of third-order equations, point transformations, symmetries
HSV kategori
Identifikatorer
URN: urn:nbn:se:bth-8844Lokal ID: oai:bth.se:forskinfo37F573FF7272D67CC12573BE00669BC8OAI: oai:DiVA.org:bth-8844DiVA, id: diva2:836599
Tilgjengelig fra: 2012-09-18 Laget: 2007-12-27 Sist oppdatert: 2016-09-02bibliografisk kontrollert

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