scholarly journals Discretized characterizations of exponential dichotomy of linear skew-product semiflows over semiflows

2010 ◽  
Vol 362 (1) ◽  
pp. 46-57 ◽  
Author(s):  
Thieu Huy Nguyen ◽  
Phi Ha
Keyword(s):  
Exponential Dichotomy ◽  
Skew Product

scholarly journals On Exponential Dichotomy of Variational Difference Equations

2009 ◽  
Vol 2009 ◽  
pp. 1-18 ◽  
Author(s):  
Bogdan Sasu
Keyword(s):  
Difference Equations ◽  
Exponential Dichotomy ◽  
New Method ◽  
Skew Product ◽  
Skew Product Flows

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. The obtained results are applied to difference equations and also to linear skew-product flows.

scholarly journals On Dichotomous Behavior of Variational Difference Equations and Applications

2009 ◽  
Vol 2009 ◽  
pp. 1-16 ◽  
Author(s):  
Bogdan Sasu
Keyword(s):  
Control System ◽  
Difference Equations ◽  
Exponential Dichotomy ◽  
Sequence Spaces ◽  
Skew Product ◽  
Skew Product Flows

We give new and very general characterizations for uniform exponential dichotomy of variational difference equations in terms of the admissibility of pairs of sequence spaces overℕwith respect to an associated control system. We establish in the variational case the connections between the admissibility of certain pairs of sequence spaces overℕand the admissibility of the corresponding pairs of sequence spaces overℤ. We apply our results to the study of the existence of exponential dichotomy of linear skew-product flows.

THE RELATION BETWEEN THE UNIFORM EXPONENTIAL DICHOTOMY AND THE UNIFORM ADMISSIBILITY OF THE PAIR (lp, lq) on ⊝

2010 ◽  
Vol 03 (04) ◽  
pp. 593-605 ◽  
Author(s):  
Pham Viet Hai
Keyword(s):  
Discrete Time ◽  
Exponential Dichotomy ◽  
Skew Product ◽  
Uniform Admissibility

The goal of this paper is to present a characterization of the uniform exponential dichotomy property for linear skew-product semiflows using a discrete-time approach.

Sign in / Sign up

Export Citation Format

Share Document