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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Agafonov, Serguei | - |
| dc.date.accessioned | 2015-04-27T11:55:57Z | - |
| dc.date.accessioned | 2016-10-25T20:46:49Z | - |
| dc.date.available | 2015-04-27T11:55:57Z | - |
| dc.date.available | 2016-10-25T20:46:49Z | - |
| dc.date.issued | 2014 | - |
| dc.identifier | http://mc.sbm.org.br/en/ | - |
| dc.identifier.citation | Matemática contemporânea, v. 43, p. 1-16, 2014. | - |
| dc.identifier.issn | 2317-6636 | - |
| dc.identifier.uri | http://hdl.handle.net/11449/122673 | - |
| dc.identifier.uri | http://acervodigital.unesp.br/handle/11449/122673 | - |
| dc.description.abstract | We study implicit ODEs, cubic in derivative, with infinitesimal symmetry at singular points. Cartan showed that even at regular points the existence of nontrivial symmetry imposes restrictions on the ODE. Namely, this algebra has the maximal possible dimension 3 iff the web of solutions is flat. For cubic ODEs with flat 3-web of solutions we establish sufficient conditions for the existence of nontrivial symmetries at singular points and show that under natural assumptions such a symmetry is semi-simple, i.e. is a scaling is some coordinates. We use this symmetry to find first integrals of the ODE. | en |
| dc.format.extent | 1-16 | - |
| dc.language.iso | eng | - |
| dc.source | Currículo Lattes | - |
| dc.title | On symmetries of singular implicit ODEs | en |
| dc.type | outro | - |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | - |
| dc.description.affiliation | Universidade Estadual Paulista Júlio de Mesquita Filho, Instituto de Biociências Letras e Ciências Exatas de São José do Rio Preto, São José do Rio Preto, Rua Cristóvão Colombo 2265, Jardim Nazareth, CEP 15054000, SP, Brasil | - |
| dc.description.affiliationUnesp | Universidade Estadual Paulista Júlio de Mesquita Filho, Departamento de Matemática, Instituto de Biociências Letras e Ciências Exatas de São José do Rio Preto | - |
| dc.rights.accessRights | Acesso aberto | - |
| dc.relation.ispartof | Mtematica contemporanea | - |
| dc.identifier.lattes | 8731229576624291 | - |
| Appears in Collections: | Artigos, TCCs, Teses e Dissertações da Unesp | |
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