Exponential Dichotomy and Trichotomy for Skew-Evolution Semiflows in Banach Spaces
Codruta Stoica (IMB)
TL;DR
This paper investigates exponential dichotomy and trichotomy properties of skew-evolution semiflows in Banach spaces, providing generalized characterizations and a uniform approach to these stability concepts.
Contribution
It introduces generalized characterizations of exponential dichotomy and trichotomy for skew-evolution semiflows in Banach spaces using a uniform framework.
Findings
Provides new characterizations generalizing classic results
Establishes conditions for exponential dichotomy and trichotomy
Uses a uniform approach to analyze stability properties
Abstract
The paper emphasizes the properties of exponential dichotomy and exponential trichotomy for skew-evolution semiflows in Banach spaces, by means of evolution semiflows and evolution cocycles. The approach is from uniform point of view. Some characterizations which generalize classic results are also provided.
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Taxonomy
TopicsStability and Controllability of Differential Equations · advanced mathematical theories · Nonlinear Differential Equations Analysis