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math.DS2016
Variation of constants formula and exponential dichotomy for non autonomous non densely defined Cauchy problems
Pierre Magal, Ousmane Seydi
In this paper we prove a variation of constants formula for a non autonomous and non homogeneous Cauchy problems whenever the linear part is not densely defined and is not a Hille-…
math.DS2013
Persistence of exponential trichotomy for linear operators: A Lyapunov-Perron approach
Arnaud Ducrot, Pierre Magal, Ousmane Seydi
In this article we revisit the perturbation of exponential trichotomy of linear difference equation in Banach space by using a Perron-Lyapunov fixed point formulation for the pertu…