Tempered exponential behavior for a dynamics in upper triangular form

Barreira, Luis and Valls, Claudia: Tempered exponential behavior for a dynamics in upper triangular form. Electronic journal of qualitative theory of differential equations 77. pp. 1-22. (2018)

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Abstract

We consider the problem of whether the existence of a tempered exponential dichotomy for a linear dynamics can be deduced from the same property for the dynamics restricted to each diagonal entry. More generally, we consider this problem for a dynamics in block upper triangular form. We also obtain corresponding results for a strong tempered exponential dichotomy and for a discrete time dynamics.

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