Overview

The asymptotic behaviour, in particular ""stability"" in some sense, is studied systematically for discrete and for continuous linear dynamical systems on Banach spaces. Of particular concern is convergence to an equilibrium with respect to various topologies. Parallels and differences between the discrete and the continuous situation are emphasised.

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9783034601948

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From the reviews: The author's aim is to emphasise similarities between the discrete and continuous cases. ... A reader who is new to the subject might prefer that the book included more motivational discussions ... . the mathematical arguments throughout the book are presented in a style that makes them easy to follow. ... it has value as a convenient reference text for comparison of the discrete and continuous cases of stability in operator theory and for exposition of links to ergodic theory. (C. J. K. Batty, Mathematical Reviews, Issue 2011 f)

From the reviews: The author's aim is to emphasise similarities between the discrete and continuous cases. ! A reader who is new to the subject might prefer that the book included more motivational discussions ! . the mathematical arguments throughout the book are presented in a style that makes them easy to follow. ! it has value as a convenient reference text for comparison of the discrete and continuous cases of stability in operator theory and for exposition of links to ergodic theory. (C. J. K. Batty, Mathematical Reviews, Issue 2011 f)

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