Add to ORKGWe show that under rather general conditions a polynomial differential system having an elementary first integral already must admit a Darboux first integral, and we explicitly characterize the vector fields in this class. We also investigate some exceptional cases, i.e. equations admitting an elementary first integral but not a Darboux first integral. In particular we provide a rather detailed discussion of exceptional elementary first integrals built from algebraic functions of prime degree
The main purpose of this paper is to characterize a germ of planar holomorphic vector field at an el...
AbstractThe main purpose of this paper is to characterize a germ of planar holomorphic vector field ...
In this paper we find necessary and sufficient conditions in order that a planar homogeneous polynom...
We show that under rather general conditions a polynomial differential system having an elementary f...
© 2019 Elsevier Inc. We show that under rather general conditions a polynomial differential system h...
We study the class of planar polynomial vector fields admitting Darboux first integrals of the type ...
We study the class of planar polynomial vector fields admitting Darboux first integrals of the type ...
Altres ajuts: Universitat Jaume I grants P1-1B2015-02 and P1-1B2015-16We study the class of planar p...
We study the class of planar polynomial vector fields admitting Darboux first integrals of the type ...
The Darbouxian theory of integrability allows to determine when a polynomial differential system in ...
We give an algorithm for deciding whether a planar polynomial differential system has a first integr...
International audienceWe consider in this work planar polynomial differential systems having a polyn...
AbstractWe consider in this work planar polynomial differential systems having a polynomial first in...
We give an algorithm for deciding whether a planar polynomial differential system has a first integr...
AbstractWe consider in this work planar polynomial differential systems having a polynomial first in...
The main purpose of this paper is to characterize a germ of planar holomorphic vector field at an el...
AbstractThe main purpose of this paper is to characterize a germ of planar holomorphic vector field ...
In this paper we find necessary and sufficient conditions in order that a planar homogeneous polynom...
We show that under rather general conditions a polynomial differential system having an elementary f...
© 2019 Elsevier Inc. We show that under rather general conditions a polynomial differential system h...
We study the class of planar polynomial vector fields admitting Darboux first integrals of the type ...
We study the class of planar polynomial vector fields admitting Darboux first integrals of the type ...
Altres ajuts: Universitat Jaume I grants P1-1B2015-02 and P1-1B2015-16We study the class of planar p...
We study the class of planar polynomial vector fields admitting Darboux first integrals of the type ...
The Darbouxian theory of integrability allows to determine when a polynomial differential system in ...
We give an algorithm for deciding whether a planar polynomial differential system has a first integr...
International audienceWe consider in this work planar polynomial differential systems having a polyn...
AbstractWe consider in this work planar polynomial differential systems having a polynomial first in...
We give an algorithm for deciding whether a planar polynomial differential system has a first integr...
AbstractWe consider in this work planar polynomial differential systems having a polynomial first in...
The main purpose of this paper is to characterize a germ of planar holomorphic vector field at an el...
AbstractThe main purpose of this paper is to characterize a germ of planar holomorphic vector field ...
In this paper we find necessary and sufficient conditions in order that a planar homogeneous polynom...