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A perturbation theorem for exponential dichotomies
Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 1987SynopsisSuppose the linear equation x' = A(t)x has an exponential dichotomy and suppose B(t) is close to A(t) in the following sense: on any interval of length 2T, B(t) is close to some translate A(t + τ) of A(t) (actually the conditions in the paper are slightly weaker than this).
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On two notions of exponential dichotomy
Dynamical Systems, 2018In this paper, we propose a weaker form of hyperbolicity in which the conditional stability along the stable and unstable directions is allowed to be non-uniform depending on each particular vector...
Luis Barreira, Claudia Valls
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Tempered exponential dichotomies: admissibility and stability under perturbations
Dynamical Systems, 2016Luis Barreira +2 more
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Admissibility and roughness of nonuniform exponential dichotomies for difference equations
Journal of Functional Analysis, 2016Linfeng Zhou, Weinian Zhang
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Robustness of nonuniform exponential dichotomies in Banach spaces
Journal of Differential Equations, 2008Luis Barreira, Claudia Valls
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