Lyapunov functions for nonuniform exponential dichotomy in Banach spaces

Details Lyapunov functions for nonuniform exponential dichotomy in Banach spaces Lyapunov functions for nonuniform exponential dichotomy in Banach spaces

2010-03-30

arxiv.org/abs/1003.5853v2

Mathematics

Classical Analysis and ODEs

Scientific paper

The aim of this paper is to give two integral characterizations of a concept
of nonuniform exponential dichotomy, inspired by the work of L. Barreira and C.
Valls. Thus, we obtain a Datko's type theorem and respectively a Lyapunov's
type theorem for this concept. Some illustrative examples are given.

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