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Dichotomies for evolution equations in Banach spaces

2010/02/05 by Codruţa Stoica, Codruta Stoica, Stoica, Codruta
Engineering · Mathematics · #34D05 #34D20 #93D20 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Stability and Controllability of Differential Equations #advanced mathematical theories #math.CA #msc:34D05 #msc:34D20 #msc:93D20

paper · pdf · doi:10.48550/arxiv.1002.1139

22 pages

arxiv created 2010/02/05 · openalex publication_date 2010/02/05 · arxiv updated 2010/02/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The aim of this paper is to emphasize various concepts of dichotomies for evolution equations in Banach spaces, due to the important role they play in the approach of stable, instable and central manifolds. The asymptotic properties of the solutions of the evolution equations are studied by means of the asymptotic behaviors for skew-evolution semiflows.

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