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Admissibility and nonuniformly hyperbolic sets [PDF]
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We obtain a characterization of two classes of dynamics with nonuniformly hyperbolic behavior in terms of an admissibility property. Namely, we consider exponential dichotomies with respect to a sequence of norms and nonuniformly hyperbolic sets. We note
Luis Barreira +2 more
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Nonuniform Exponential Dichotomies in Terms of Lyapunov Functions for Noninvertible Linear Discrete-Time Systems [PDF]
The Scientific World Journal, 2013 The aim of this paper is to give characterizations in terms of Lyapunov functions for nonuniform exponential dichotomies of nonautonomous and noninvertible discrete-time systems.
Ioan-Lucian Popa +2 more
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Sexuality and hierarchical trajectories in Global South: A de-colonial reading of Sefi Atta's novel, A Bit of Difference in the exemplification of contemporary literature [PDF]
Heliyon, 2022 A study is made to the created gender dichotomies and the creation of transnational mobility shift in Nigeria's Sefi Atta's novel, A Bit of Difference (2012).
Christopher Babatunde Ogunyemi
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On the Exponents of Exponential Dichotomies [PDF]
Mathematics, 2020 An exponential dichotomy is studied for linear differential equations. A constructive method is presented to derive a roughness result for perturbations giving exponents of the dichotomy as well as an estimate of the norm of the difference between the ...
Flaviano Battelli, Michal Fečkan
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Intra-subject stability of different expressions of spatial QRS-T angle and their relationship to heart rate [PDF]
Frontiers in Physiology, 2022 Three-dimensional angle between the QRS complex and T wave vectors is a known powerful cardiovascular risk predictor. Nevertheless, several physiological properties of the angle are unknown or poorly understood. These include, among others, intra-subject
Irena Andršová +14 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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Exponential dichotomy for noninvertible linear difference equations [PDF]
Journal of Difference Equations and Applications, 2021 The final version of the paper will appear in the Journal of difference equations and ...
Battelli, F., Franca, M., Palmer, K. J.
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Exponential dichotomy of strongly discontinuous semigroups [PDF]
Bulletin of the Australian Mathematical Society, 1984 In this paper we give necessary and sufficient conditions for exponential dichotomy of a general class of strongly continuous semigroups of operators defined on a Banach space. As a particular case we obtain a Datko theorem for exponential stability of a strongly continuous semigroup of class C0 defined on a Banach space.
Preda, P., Megan, M.
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Admissibility and general dichotomies for evolution families
Electronic Journal of Qualitative Theory of Differential Equations, 2020 For an arbitrary noninvertible evolution family on the half-line and for $\rho \colon [0, \infty)\to [0, \infty)$ in a large class of rate functions, we consider the notion of a $\rho$-dichotomy with respect to a family of norms and characterize it in ...
Davor Dragičević +2 more
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Nonautonomous Exponential Dichotomy [PDF]
Integral Equations and Operator Theory, 2007 In this note we generalize the strongly continuous bisemigroups generated by exponentially dichotomous operators to so-called bievolution families. These families are then related to strongly continuous bisemigroups on certain Banach spaces of continuous and measurable vector-valued functions.
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