Add to ORKGThis is a survey on recent results providing sufficient conditions for the existence of a first integral, first for vector fields defined on real surfaces, and second for polynomial vector fields in R^n or C^n with n ≥ 2. We also provide an open question and some applications based on the existence of such first integrals.This is a survey on recent results providing sufficient conditions for the existence of a first integral, first for vector fields defined on real surfaces, and second for polynomial vector fields in Rn or Cn with n ≥ 2. We also provide an open question and some applications based on the existence of such first integrals
The Darbouxian theory of integrability allows to determine when a polynomial differential system in ...
Under very general assumptions we prove that the planar differential systems having a first integral...
AbstractWe consider in this work planar polynomial differential systems having a polynomial first in...
Abstract This is a survey on recent results providing sufficient conditions for the existence of a f...
Agraïments: The second author is partially supported by NNSF of China grant 10831003 and Shanghai Pu...
AbstractThis paper deals with the notion of integrability of flows or vector fields on two-dimension...
In 1976 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polynomial vec...
AbstractIn 1979 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polyno...
In many problems appearing in applied mathematics in the nonlinear ordinary differential systems, as...
We show that under rather general conditions a polynomial differential system having an elementary f...
In many problems appearing in applied mathematics in the nonlinear ordinary differential systems, as...
In many problems appearing in applied mathematics in the nonlinear ordinary differential systems, as...
© 2019 Elsevier Inc. We show that under rather general conditions a polynomial differential system h...
AbstractFor a class of polynomial differential systems of degree (m1,…,md) in Rd which is open and d...
Under very general assumptions we prove that the planar differential systems having a first integral...
The Darbouxian theory of integrability allows to determine when a polynomial differential system in ...
Under very general assumptions we prove that the planar differential systems having a first integral...
AbstractWe consider in this work planar polynomial differential systems having a polynomial first in...
Abstract This is a survey on recent results providing sufficient conditions for the existence of a f...
Agraïments: The second author is partially supported by NNSF of China grant 10831003 and Shanghai Pu...
AbstractThis paper deals with the notion of integrability of flows or vector fields on two-dimension...
In 1976 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polynomial vec...
AbstractIn 1979 Jouanolou showed that if the number of invariant algebraic hypersurfaces of a polyno...
In many problems appearing in applied mathematics in the nonlinear ordinary differential systems, as...
We show that under rather general conditions a polynomial differential system having an elementary f...
In many problems appearing in applied mathematics in the nonlinear ordinary differential systems, as...
In many problems appearing in applied mathematics in the nonlinear ordinary differential systems, as...
© 2019 Elsevier Inc. We show that under rather general conditions a polynomial differential system h...
AbstractFor a class of polynomial differential systems of degree (m1,…,md) in Rd which is open and d...
Under very general assumptions we prove that the planar differential systems having a first integral...
The Darbouxian theory of integrability allows to determine when a polynomial differential system in ...
Under very general assumptions we prove that the planar differential systems having a first integral...
AbstractWe consider in this work planar polynomial differential systems having a polynomial first in...