A. Lemos

most citedConditions to the existence of center in planar systems and center for Abel equations

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.CA2017

On Moment Condition and Center Condition for Abel Equation

Anderson L. A. de Araujo, Abílio Lemos, Alexandre M. Alves

In this paper we consider Abel equation $x^{'} = g (t) x^{2} + f (t) x^{3}$ , where $f$ and $g$ are analytical functions. We proved that if the equation has a center at $x = 0$ , then the Moment Co…

math.CA2017★ 1 cited

Conditions to the existence of center in planar systems and center for Abel equations

Anderson L. A. de Araujo, Abílio Lemos, Alexandre M. Alves

Abel equations of the form $x^{'} (t) = f (t) x^{3} (t) + g (t) x^{2} (t)$ , $t \in [- a, a]$ , where $a > 0$ is a constant, $f$ and $g$ are continuous functions, are of interest because of their close re…

math.DG2017

Evolving Affine Evolutoids

Ady Cambraia Junior, Abílio Lemos

The envelope of straight lines affine normal to a plane curve C is its affine evolute; the envelope of the affine lines tangent to C is the original curve, together with the entire…