Birational transformations preserving rational solutions of algebraic ordinary differential equations
Identificadores
Enlace permanente (URI): http://hdl.handle.net/10017/28564DOI: 10.1016/j.cam.2015.03.007
ISSN: 0377-0427
Editor
Elsevier
Fecha de publicación
2015-05-01Patrocinadores
Ministerio de Economía y Competitividad
Austrian Science Fund (FWF)
Cita bibliográfica
Journal of Computational and Applied Mathematics, 2015, v. 286, p. 114-127
Palabras clave
Rational parametrization
Integral curve
Integral birational transformation
Rational solution
Algebraic diferential equation
Descripción
J.R. Sendra belongs to the Research Group ASYNACS
Proyectos
info:eu-repo/grantAgreement/MICINN//MTM2011-25816-C02-01/ES/ALGORITMOS Y APLICACIONES EN GEOMETRIA DE CURVAS Y SUPERFICIES/
info:eu-repo/grantAgreement/FWF//Project DK11/AT/W1214-N15
Tipo de documento
info:eu-repo/semantics/preprint
Versión
info:eu-repo/semantics/acceptedVersion
Versión del editor
http://dx.doi.org/10.1016/j.cam.2015.03.007Derechos
© Elsevier B.V., 2015
Derechos de acceso
info:eu-repo/semantics/openAccess
Resumen
We characterize the set of all rational transformations with the property of pre-
serving the existence of rational solutions of algebraic ordinary di erential equations
(AODEs). This set is a group under composition and, by its action, partitions the set
of AODEs into equivalence classes for which the existence of rational solutions is an
invariant property. Moreover, we describe how the rational solutions, if any, of two
different AODEs in the same class are related.
Ficheros en el ítem
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DiffTransfomation.pdf | 362.7Kb |
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DiffTransfomation.pdf | 362.7Kb |
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Colecciones
- MATEMATIC - Artículos [172]