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On Exponential Stability for Skew-Evolution Semiflows on Banach Spaces

2008/04/09 by Codruta Stoica, Stoica, Codruta · 1 citation
Computer Science · Engineering · Mathematics · #34D09 #Advanced Mathematical Modeling in Engineering #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations #math.CA #msc:34D09

paper · pdf · doi:10.48550/arxiv.0804.1479

arxiv created 2008/04/09 · openalex publication_date 2008/04/09 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper emphasizes the property of stability for skew-evolution semiflows on Banach spaces, defined by means of evolution semiflows and evolution cocycles and which generalize the concept introduced by us in a previous paper. There are presented several general characterizations of this asymptotic property out of which can be deduced well known results of the stability theory. A unified treatment in the uniform and in the nonuniform setting is given. The main results are also formulated in discrete time.

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