Results 11 to 20 of about 396,375 (242)

On Exponential Dichotomy of Variational Difference Equations [PDF]

open access: yesDiscrete Dynamics in Nature and Society, 2009
We give very general characterizations for uniform exponential dichotomy of variational difference equations. We propose a new method in the study of exponential dichotomy based on the convergence of some associated series of nonlinear trajectories.
Bogdan Sasu
doaj   +2 more sources

Admissibility and Non-Uniform Dichotomy for Differential Systems [PDF]

open access: yes, 2004
The problem of nonuniform exponential dichotomy of linear differential systems in Banach spaces is discussed. It is established a connection between the admissibility of a pair of certain function spaces which are translations invariant, on one hand ...
Preda, Ciprian I, Dragomir, Sever S
core   +6 more sources

Pairs of Function Spaces and Exponential Dichotomy on the Real Line

open access: yesAdvances in Difference Equations, 2010
We provide a complete diagram of the relation between the admissibility of pairs of Banach function spaces and the exponential dichotomy of evolution families on the real line. We prove that if W∈ℋ(ℝ) and V∈𝒯(ℝ)
Adina Luminiţa Sasu
doaj   +2 more sources

Strong and weak admissibility of $L^\infty$ spaces

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2017
For a dynamics with continuous time, we consider the notion of a strong exponential dichotomy with respect to a family of norms and we characterize it in terms of the admissibility of bounded solutions.
Luis Barreira, Claudia Valls
doaj   +1 more source

Statistical procedures based on exponential scores [PDF]

open access: yes, 1983
Many statistical models have been proposed in which underlying exponential distributions are assumed. Applications of such models occur in a large number of areas, for example in reliability and life-testing investigations and in the study of the ...
Young, D H
core   +6 more sources

The Perron Problem for C-Semigroups [PDF]

open access: yes, 2004
<p>Characterizations of Perron-type for the exponential stability of exponentially bounded C-semigroups are given. Also, some applications for the asymptotic behavior of the integrated semigroups are obtained.</p>
Prada, Petre   +2 more
core   +1 more source

Exponential dichotomy of ODE\u27s [PDF]

open access: yes, 2009
I present an elementary Functional Analytic proof of the roughness of Exponential Dichotomy of Ordinary Differential Equations (with exponential growth) on an arbitrary Banach ...
Al-Hanna, Nada Farid
core   +2 more sources

On Exponential Trichotomy of Cocycles over Semiflows

open access: yesAnnals of the West University of Timisoara: Mathematics and Computer Science, 2014
The paper considers a concept of exponential trichotomy for cocycles over semiflows in Banach spaces and as a particular case the corresponding dichotomy concept.
Biriş Larisa, Retezan Raluca
doaj   +1 more source

Tempered exponential behavior for a dynamics in upper triangular form

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2018
We consider the problem of whether the existence of a tempered exponential dichotomy for a linear dynamics can be deduced from the same property for the dynamics restricted to each diagonal entry.
Luis Barreira, Claudia Valls
doaj   +1 more source

Exponential Dichotomy of the Two-Dimensional Linear Differential System

open access: yesJournal of Mathematics, 2022
   This paper deals with a class of two-dimensional linear differential systems with periodic coefficients. A sufficient condition for the exponential dichotomy of the linear system is given by the fixed point theorem and variable substitution, and some ...
Ni Hua, Wang Jing, Bai Min
doaj   +1 more source

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