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, Advance publication (2018), 11 pages.

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

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Digital Object 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, advance publication, 7 July 2018. doi:10.15352/aot.1805-1364.

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