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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 , , where is a constant, and are continuous functions, are of interest because of their close re…
math.CA2017★ 1 cited
Some results on Ricatti Equations, Floquet Theory and Applications
Anderson L. A. de Araujo, Abílio Lemos, Alexandre M. Alves +1
In this paper, we present two new results to the classical Floquet theory, which provides the Floquet multipliers for two classes of the planar periodic system. One these results p…
math.AP2017
A Quasilinear Elliptic Equation with Oscillating Nonlinearity
Rafael dos Reis Abreu, Anderson Luis Albuquerque de Araujo
We find a solution of a quasilinear elliptic equation with Dirichlet's boundary condition on a smooth bounded domain and involving an unbounded continuous nonlinearity with oscilla…