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Exponential dichotomy for evolution families on the real line [PDF]
Abstract and Applied Analysis, 2006 We give necessary and sufficient conditions for uniform exponential dichotomy of evolution families in terms of the admissibility of the pair (Lp(ℝ,X),Lq(ℝ,X)).
Adina Luminiţa Sasu
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Roughness of (ℤ+,ℤ-)-Nonuniform Exponential Dichotomy for Difference Equations in Banach Spaces [PDF]
The Scientific World Journal, 2014 In this paper we study the roughness of (ℤ+,ℤ-)-nonuniform exponential dichotomy for nonautonomous difference equations in the general context of infinite-dimensional spaces.
Nicolae Lupa
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On Some Characterizations for Uniform Dichotomy of Evolution Operators in Banach Spaces
Mathematics, 2022 The present paper deals with two of the most significant behaviors in the theory of dynamical systems: the uniform exponential dichotomy and the uniform polynomial dichotomy for evolution operators in Banach spaces.
Rovana Boruga (Toma), Mihail Megan
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Nonuniform Dichotomy with Growth Rates of Skew-Evolution Cocycles in Banach Spaces
Axioms, 2023 This paper presents integral charaterizations for nonuniform dichotomy with growth rates and their correspondents for the particular cases of nonuniform exponential dichotomy and nonuniform polynomial dichotomy of skew-evolution cocycles in Banach spaces.
Ariana Găină +2 more
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On uniform dichotomy in mean of stochastic skew-evolution semiflows in Banach spaces
Annals of the West University of Timisoara: Mathematics and Computer Science, 2023 In this paper we consider three concepts of uniform dichotomy in mean for stochastic skew-evolution semiflows: uniform exponential dichotomy in mean, uniform polynomial dichotomy in mean and uniform h- dichotomy in mean.
Fülöp Tímea Melinda Személy
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EXPONENTIAL DICHOTOMY OF DISCRETE TIME LINEAR SYSTEMS WITH MARKOVIAN JUMPS AND INDEPENDENT RANDOM PERTURBATIONS [PDF]
Fiabilitate şi Durabilitate, 2022 This paper discuses exponential dichotomy problems for a class of discrete-time systems affected by both Markovian jumps and independent random perturbations.
Viorica Mariela UNGUREANU +1 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2022 For a large class of nonautonomous linear delay equations with distributed delay, we obtain the equivalence of hyperbolicity, with the existence of an exponential dichotomy, and Ulam–Hyers stability.
Luis Barreira, Claudia Valls
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Uniform Dichotomy Concepts for Discrete-Time Skew Evolution Cocycles in Banach Spaces
Mathematics, 2021 In the present paper, we consider the problem of dichotomic behaviors of dynamical systems described by discrete-time skew evolution cocycles in Banach spaces.
Ariana Găină +2 more
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Nonuniform dichotomy spectrum and reducibility for nonautonomous difference equations
Advances in Nonlinear Analysis, 2021 For nonautonomous linear difference equations, we introduce the notion of the so-called nonuniform dichotomy spectrum and prove a spectral theorem. As an application of the spectral theorem, we prove a reducibility result.
Chu Jifeng +4 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2023 We add relevant references about which we learned after the completion of the initial work. We mainly show how the concept of exponential trichotomy can successfully replace the one of exponential dichotomy in some results from the paper in the title.
Adriana Buică
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