5 citations · 5 across the 5 of their papers we have counts for
7 papers
The effect of a small bounded noise on the hyperbolicity for autonomous semilinear differential equations
Tomás Caraballo, Alexandre N. de Carvalho, José A. Langa +1
In this work we study permanence of hyperbolicity for autonomous differential equations under nonautonomous random/stochastic perturbations. For the linear case, we study robustnes…
Permanence of nonuniform nonautonomous hyperbolicity for infinite-dimensional differential equations
Tomás Caraballo, Alexandre N. Carvalho, José Antonio Langa +1
In this paper, we study stability properties of nonuniform hyperbolicity for evolution processes associated with differential equations in Banach spaces. We prove a robustness resu…
Stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem
Alexandre N. Carvalho, Estefani M. Moreira
In this work, we present results on stability and hyperbolicity of equilibria for a scalar nonlocal one-dimensional quasilinear parabolic problem. We show that this nonlocal versio…
A non-autonomous bifurcation problem for a non-local scalar one-dimensional parabolic equation
Alexandre N. Carvalho, Yanan Li, Tito L. M. Luna +1
In this paper we study the asymptotic behavior of solutions for a non-local non-autonomous scalar quasilinear parabolic problem in one space dimension. Our aim is to give a fairly…
A non-autonomous scalar one-dimensional dissipative parabolic problem: The description of the dynamics
Rita de Cássia D. S. Broche, Alexandre N. Carvalho, José Valero
The purpose of this paper is to give a characterization of the structure of non-autonomous attractors of the problem when the parameter varies.…
Lipschitz perturbations of Morse-Smale semigroups
M. C. Bortolan, C. A. E. N. Cardoso, A. N. Carvalho +1
In this paper we will deal with Lipschitz continuous perturbations of Morse-Smale semigroups with only equilibrium points as critical elements. We study the behavior of the structu…