Advances in Operator Theory

General exponential dichotomies: from finite to infinite time

Luis Barreira and Claudia Valls

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‎‎We consider exponential dichotomies on finite intervals and show that if the constants in the notion of an exponential dichotomy are chosen appropriately and uniformly on those intervals‎, ‎then there exists an exponential dichotomy on the whole line‎. ‎We consider the general case of a nonautonomous dynamics that need not be invertible‎. ‎Moreover‎, ‎we consider both cases of discrete and continuous time‎.

Article information

Adv. Oper. Theory, Volume 4, Number 1 (2019), 215-225.

Received: 4 May 2018
Accepted: 27 June 2018
First available in Project Euclid: 7 July 2018

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: ‎70F05
Secondary: ‎34D09

exponential dichotomy ‎‎growth rate ‎nonautonomous dynamics


Barreira, Luis; Valls, Claudia. General exponential dichotomies: from finite to infinite time. Adv. Oper. Theory 4 (2019), no. 1, 215--225. doi:10.15352/aot.1805-1364.

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