Fields of rational constants of cyclic factorizable derivations

We describe all rational constants of a large family of four-variable cyclic factorizable derivations. Thus, we determine all rational first integrals of their corresponding systems of differential equations. Moreover, we give a characteristic of all four-variable Lotka-Volterra derivations wi...

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Bibliographic Details
Main Author: Janusz Zielinski
Format: Article
Language:English
Published: Texas State University 2015-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/310/abstr.html