Add to ORKGAbstract. We give a full description of the dynamics of the Abel equation z ̇ = z3 + f(t) for some special complex valued f. We also prove the existence of at least three periodic solutions for equations of the form z ̇ = zn + f(t) for odd n ≥ 5
AbstractWe consider the Abel equation x˙=A(t)x3+B(t)x2, where A(t) and B(t) are trigonometric polyno...
The study of periodic solutions with constant sign in the Abel equation of the second kind can be ma...
International audienceWe consider an Abel differential equation y′=p(x)y2+q(x)y3 with p(x), q(x) pol...
Abstract. We give a full description of the dynamics of the Abel equation z ̇ = z3 + f(t) for some ...
AbstractThis paper is devoted to prove two unexpected properties of the Abel equation dz/dt=z3+B(t)z...
This paper is devoted to prove two unexpected properties of the Abel equation dz/dt = z 3 +B(t)z 2 +...
AbstractA solution of the Abel equation x˙=A(t)x3+B(t)x2 such that x(0)=x(1) is called a periodic or...
AbstractFor a class of polynomial non-autonomous differential equations of degree n, we use phase pl...
We give a few sufficient conditions for the existence of periodic solutions of the equation [formula...
This article provides sufficient conditions for the existence of periodic solutions with nonconstant...
AbstractIn this paper, we investigate the differential equation x˙=S(x,t)=A(t)xm+B(t)xn+C(t)xl, wher...
17 pages; no figuresInternational audienceA solution of the Abel equation $\dot{x}=A(t)x^3+B(t)x^2$ ...
This paper deals with the problem of finding upper bounds on the number of periodic solutions of a c...
(Communicated by Shouchuan Hu) Abstract. This article provides sufficient conditions for the existen...
We give a few sufficient conditions for the existence of periodic solutions of the equation $\dot{...
AbstractWe consider the Abel equation x˙=A(t)x3+B(t)x2, where A(t) and B(t) are trigonometric polyno...
The study of periodic solutions with constant sign in the Abel equation of the second kind can be ma...
International audienceWe consider an Abel differential equation y′=p(x)y2+q(x)y3 with p(x), q(x) pol...
Abstract. We give a full description of the dynamics of the Abel equation z ̇ = z3 + f(t) for some ...
AbstractThis paper is devoted to prove two unexpected properties of the Abel equation dz/dt=z3+B(t)z...
This paper is devoted to prove two unexpected properties of the Abel equation dz/dt = z 3 +B(t)z 2 +...
AbstractA solution of the Abel equation x˙=A(t)x3+B(t)x2 such that x(0)=x(1) is called a periodic or...
AbstractFor a class of polynomial non-autonomous differential equations of degree n, we use phase pl...
We give a few sufficient conditions for the existence of periodic solutions of the equation [formula...
This article provides sufficient conditions for the existence of periodic solutions with nonconstant...
AbstractIn this paper, we investigate the differential equation x˙=S(x,t)=A(t)xm+B(t)xn+C(t)xl, wher...
17 pages; no figuresInternational audienceA solution of the Abel equation $\dot{x}=A(t)x^3+B(t)x^2$ ...
This paper deals with the problem of finding upper bounds on the number of periodic solutions of a c...
(Communicated by Shouchuan Hu) Abstract. This article provides sufficient conditions for the existen...
We give a few sufficient conditions for the existence of periodic solutions of the equation $\dot{...
AbstractWe consider the Abel equation x˙=A(t)x3+B(t)x2, where A(t) and B(t) are trigonometric polyno...
The study of periodic solutions with constant sign in the Abel equation of the second kind can be ma...
International audienceWe consider an Abel differential equation y′=p(x)y2+q(x)y3 with p(x), q(x) pol...