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Zbl 0664.34016
Palmer, Kenneth J.
Exponential dichotomies for almost periodic equations.
(English)
[J] Proc. Am. Math. Soc. 101, 293-298 (1987). ISSN 0002-9939; ISSN 1088-6826/e

The author considers the equation (1) $x'=A(t)x$, where A is an $n\times n$ almost periodic on R matrix function. He shows that if (1) has an exponential dichotomy on a sufficiently long finite interval then it has one on R.
[A.Reinfelds (Riga)]
MSC 2000:
*34A30 Linear ODE and systems
34C27 Almost periodic solutions of ODE
34D05 Asymptotic stability of ODE

Keywords: matrix function; exponential dichotomy

Cited in: Zbl 0687.39002

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