Agraïments: The second author was supported by Portuguese National Funds through FCT - Fundacâo para a Ciência e a Tecnologia within the project PTDC/MAT/117106/2010 and by CAMGSD.We provide explicit expressions for the Liouvillian first integrals of the quadratic polynomial differential systems having an integrable saddle
Agraïments: The second author was supported by Portuguese National Funds through FCT - Fundação para...
We study the existence and non-existence of Liouvillian first integrals for the generalized Riccati ...
AbstractRecently, the authors provided an example of an integrable Liouvillian planar polynomial dif...
Agraïments: The second author was supported by Portuguese National Funds through FCT - Fundacâo para...
AbstractFor a large class of quadratic–linear polynomial differential systems with a unique singular...
AbstractThere was the belief that if a planar polynomial differential system has a Liouvillian first...
AbstractWe classify all quadratic polynomial differential systems having a polynomial first integral...
In this paper we study the existence and non-existence of finite invariant algebraic curves for comp...
We characterize the Liouvillian and analytic first integrals for the polynomial differential systems...
In this work we consider rational ordinary differential equations dy/dx = Q(x, y)/P(x, y), with Q(x...
The integrability problem consists in finding the class of functions a first integral of a given pla...
We consider the Liénard differential systems ̇x=y+F(x), ̇y=x (1), in C2 where F(x) is an analytic fu...
Agraïments/Ajudes: The second author has been partially supported by FCT through the project PTDC/MA...
Agraïments: The second author is supported by AGAUR grant PIV-DGR-2010 and by FCT through CAMGDS, Li...
Agraïments: The second author has been partially supported by the FCT through CAMGSD, Lisbon
Agraïments: The second author was supported by Portuguese National Funds through FCT - Fundação para...
We study the existence and non-existence of Liouvillian first integrals for the generalized Riccati ...
AbstractRecently, the authors provided an example of an integrable Liouvillian planar polynomial dif...
Agraïments: The second author was supported by Portuguese National Funds through FCT - Fundacâo para...
AbstractFor a large class of quadratic–linear polynomial differential systems with a unique singular...
AbstractThere was the belief that if a planar polynomial differential system has a Liouvillian first...
AbstractWe classify all quadratic polynomial differential systems having a polynomial first integral...
In this paper we study the existence and non-existence of finite invariant algebraic curves for comp...
We characterize the Liouvillian and analytic first integrals for the polynomial differential systems...
In this work we consider rational ordinary differential equations dy/dx = Q(x, y)/P(x, y), with Q(x...
The integrability problem consists in finding the class of functions a first integral of a given pla...
We consider the Liénard differential systems ̇x=y+F(x), ̇y=x (1), in C2 where F(x) is an analytic fu...
Agraïments/Ajudes: The second author has been partially supported by FCT through the project PTDC/MA...
Agraïments: The second author is supported by AGAUR grant PIV-DGR-2010 and by FCT through CAMGDS, Li...
Agraïments: The second author has been partially supported by the FCT through CAMGSD, Lisbon
Agraïments: The second author was supported by Portuguese National Funds through FCT - Fundação para...
We study the existence and non-existence of Liouvillian first integrals for the generalized Riccati ...
AbstractRecently, the authors provided an example of an integrable Liouvillian planar polynomial dif...