Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4638429 | Journal of Computational and Applied Mathematics | 2015 | 14 Pages |
Abstract
We characterize the set of all rational transformations with the property of preserving the existence of rational solutions of algebraic ordinary differential 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
L.X.C. Ngô, J.R. Sendra, F. Winkler,