Classification of algebraic ODEs with respect to rational solvability
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/20449DOI: 10.1090/conm/572/11361
ISBN: 9780821868690
Editor
American Mathematical Society
Fecha de publicación
2012Patrocinadores
Ministerio de Ciencia e Innovación
Cita bibliográfica
Computational Algebraic and Analytic Geometry, 2012, v. 572 p. 193-210
Descripción
This is the author’s version of a work that was accepted for publication in
Computational Algebraic and Analytic Geometry, AMS series Contemporary
Mathematics.
Changes resulting from the publishing process, such as peer review,
editing, corrections,
structural formatting, and other quality control mechanisms may not be
reflected in this document.
Changes may have been made to this work since it was submitted for
publication. A definitive version was subsequently published
in Computational Algebraic and Analytic Geometry vol. 572 pp. 193-210,
AMS series Contemporary Mathematics DOI 10.1090/conm/572/11361
Proyectos
info:eu-repo/grantAgreement/MICINN//MTM2011-25816-C02-01/ES/ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES/
Tipo de documento
info:eu-repo/semantics/bookPart
Versión
info:eu-repo/semantics/submittedVersion
Versión del editor
http://dx.doi.org/10.1090/conm/572/11361Derechos
© 2012 American Mathematical Society
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
In this paper, we introduce a group of affine linear transformations
and consider its action on the set of parametrizable algebraic ODEs. In
this way the set of parametrizable ODEs is partitioned into classes with an invariant
associated system, and hence of equal complexity in terms of rational
solvability. We study some special parametrizable ODEs: some well-known
and obviously parametrizable classses of ODEs, and some classes of ODEs
with special geometric shapes, whose associated systems are characterized by
classical ODEs such as separable or homogeneous ones.
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