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20092012
most citedNonautonomous equations, generalized dichotomies and stable manifolds

3 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.DS2012

Nonuniform dichotomic behavior: Lipschitz invariant manifolds for difference equations

António J. G. Bento, César M. Silva

We obtain global and local theorems on the existence of invariant manifolds for perturbations of non autonomous linear difference equations assuming a very general form of dichotom…

math.DS2011

Nonuniform -dichotomies and local dynamics of difference equations

António J. G. Bento, César M. Silva

We obtain a local stable manifold theorem for perturbations of nonautonomous linear difference equations possessing a very general type of nonuniform dichotomy, possibly with diffe…

math.DS2009★ 3 cited

Nonautonomous equations, generalized dichotomies and stable manifolds

António J. G. Bento, César Silva

Assuming the existence of a general nonuniform dichotomy for the evolution operator of a non-autonomous ordinary linear differential equation in a Banach space, we establish the ex…