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math.AP2020★ 5 cited
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…
math.AP2020
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…