Exponential dichotomies for linear discrete-time systems in Banach spaces
Ioan-Lucian Popa, Mihail Megan, Traian Ceausu
TL;DR
This paper explores the concept of exponential dichotomies in linear discrete-time systems within Banach spaces, providing theoretical insights and motivating examples to deepen understanding.
Contribution
It introduces new perspectives on dichotomy concepts for difference equations in Banach spaces, supported by illustrative examples.
Findings
Established conditions for exponential dichotomies in Banach spaces
Provided illustrative examples demonstrating dichotomy concepts
Extended existing theory to broader classes of linear systems
Abstract
In this paper we investigate some dichotomy concepts for linear difference equations in Banach spaces. We motivate our approach by illustrative examples.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Stability and Controllability of Differential Equations · Numerical methods for differential equations