RT info:eu-repo/semantics/bookPart
T1 Classification of algebraic ODEs with respect to rational solvability
A1 Chau Ngo, L. X.
A1 Winkler, Franz
A1 Sendra Pons, Juan Rafael
K1 Ciencia
K1 Matemáticas
K1 Science
K1 Mathematics
AB In this paper, we introduce a group of affine linear transformationsand consider its action on the set of parametrizable algebraic ODEs. Inthis way the set of parametrizable ODEs is partitioned into classes with an invariantassociated system, and hence of equal complexity in terms of rationalsolvability. We study some special parametrizable ODEs: some well-knownand obviously parametrizable classses of ODEs, and some classes of ODEswith special geometric shapes, whose associated systems are characterized byclassical ODEs such as separable or homogeneous ones.
PB American Mathematical Society
SN 9780821868690
YR 2012
FD 2012
LK http://hdl.handle.net/10017/20449
UL http://hdl.handle.net/10017/20449
LA eng
NO This is the author’s version of a work that was accepted for publication inComputational Algebraic and Analytic Geometry, AMS series ContemporaryMathematics.Changes resulting from the publishing process, such as peer review,editing, corrections,structural formatting, and other quality control mechanisms may not bereflected in this document.Changes may have been made to this work since it was submitted forpublication. A definitive version was subsequently publishedin Computational Algebraic and Analytic Geometry vol. 572 pp. 193-210,AMS series Contemporary Mathematics DOI 10.1090/conm/572/11361
NO Ministerio de Ciencia e Innovación
DS MINDS@UW
RD 02-abr-2023