22 citations · 35 across the 10 of their papers we have counts for
5 papers · 1 filter
Continuity of attractors for perturbations of a smooth domain
Antônio L. Pereira, Pricila S. Barbosa
We consider a family of semilinear parabolic problems with nonlinear boundary conditions \[ \left\{ \begin{aligned} u_t(x,t) &=Δu(x,t) -au(x,t) + f(u(x,t)),\ x \in Ω_ε\mbox{ and }…
A gradient flow generated by a nonlocal model of a neural field in an unbounded domain
Severino Horácio da Silva, Antônio Luiz Pereira
In this paper we consider the non local evolution equation We…
Continuity of attractors for a family of perturbations of the square
Pricila S. Barbosa, Antônio L. Pereira, Marcone C. Pereira
We consider here the family of semilinear parabolic problems \begin{equation*} \begin{array}{rcl} \left\{ \begin{array}{rcl} u_t(x,t)&=&Δu(x,t) -au(x,t) + f(u(x,t)) ,\,\,\ x \in Ω_…
Asymptotic behavior for a class of non autonomous non local problems
Flank D. Bezerra, Severino H. da Silva, Antonio L. Pereira
In this paper we consider the non local non autonomous evolution problem \[ \begin{cases} \partial_t u =- u + g \left(β(t)(Ku) \right)\ \ \mbox{in}\ \ Ω,\\ u = 0\ \ \mbox{in}\ \ \m…
Stability analysis with applications of a two-dimensional dynamical system arising from a stochastic model of an asset market
Vladimir Belitsky, Antonio L. Pereira, Fernando P. de Almeida Prado
We analyze the stability properties of equilibrium solutions and periodicity of orbits in a two-dimensional dynamical system whose orbits mimic the evolution of the price of an ass…