We study the integrability of polynomial vector fields using Galois theory of linear differential equations when the associated foliations is reduced to a Riccati type foliation. In particular we obtain integrability results for some families of quadratic vector fields, Liénard equations and equations related with special functions such as Hypergeometric and Heun ones. The Poincaré problem for some families is also approached
Altres ajuts: MECC/MTM2015-65715-PWe study a necessary condition for the integrability of the polyno...
Abstract: The paper is divided into two parts. In the first one we present a survey about the theory...
Abstract. In this paper we study some aspects of the integrability prob-lem for polynomial vector fi...
We study the integrability of polynomial vector fields using Galois theory of linear differential eq...
We study the integrability of polynomial vector fields using Galois theory of linear differential eq...
We study the integrability of polynomial vector fields using Galois theory of linear differential eq...
We study the integrability of polynomial vector fields using Galois theory of linear differential eq...
We study a necessary condition for the integrability of the polynomials vector fields in the plane b...
We study a necessary condition for the integrability of the polynomials vector fields in the plane b...
We study a necessary condition for the integrability of the polynomials vector fields in the plane b...
International audienceIn this paper we study some aspects of the integrability problem for polynomia...
We study algebraic integrability of complex planar polynomial vector fields X=A(x,y)(∂/∂x)+B(x,y)(∂/...
Abstract In this article we summarize the results on algebraic aspects of integrability for polynomi...
We present an introductory survey to the Darboux integrability theory of planar complex and real pol...
Abstract This is a survey on recent results providing sufficient conditions for the existence of a f...
Altres ajuts: MECC/MTM2015-65715-PWe study a necessary condition for the integrability of the polyno...
Abstract: The paper is divided into two parts. In the first one we present a survey about the theory...
Abstract. In this paper we study some aspects of the integrability prob-lem for polynomial vector fi...
We study the integrability of polynomial vector fields using Galois theory of linear differential eq...
We study the integrability of polynomial vector fields using Galois theory of linear differential eq...
We study the integrability of polynomial vector fields using Galois theory of linear differential eq...
We study the integrability of polynomial vector fields using Galois theory of linear differential eq...
We study a necessary condition for the integrability of the polynomials vector fields in the plane b...
We study a necessary condition for the integrability of the polynomials vector fields in the plane b...
We study a necessary condition for the integrability of the polynomials vector fields in the plane b...
International audienceIn this paper we study some aspects of the integrability problem for polynomia...
We study algebraic integrability of complex planar polynomial vector fields X=A(x,y)(∂/∂x)+B(x,y)(∂/...
Abstract In this article we summarize the results on algebraic aspects of integrability for polynomi...
We present an introductory survey to the Darboux integrability theory of planar complex and real pol...
Abstract This is a survey on recent results providing sufficient conditions for the existence of a f...
Altres ajuts: MECC/MTM2015-65715-PWe study a necessary condition for the integrability of the polyno...
Abstract: The paper is divided into two parts. In the first one we present a survey about the theory...
Abstract. In this paper we study some aspects of the integrability prob-lem for polynomial vector fi...