AbstractIn this paper we investigate four concepts of exponential stability for difference equations in Banach spaces. Characterizations of these concepts are given. They can be considered as variants for the discrete-time case of the classical results due to Barbashin [6] and Datko [5]. An illustrative example clarifies the relations between these concepts
We prove that a general system of variational difference equations is uniformly exponentially stable...
The aim of this paper is to obtain new necessary and sufficient conditions for the uniform exponenti...
In this paper, by using a novel approach, we first prove a new generalization of discrete-type Halan...
The aim of this paper is to give several characterizations for nonuniform exponential trichotomy pro...
Using methods parallel to those of ordinary differential equations, stability of time-dependent diff...
AbstractThe aim of this work is to obtain very general characterizations for uniform exponential sta...
AbstractWe give an affirmative answer to a question formulated by Aulbach and Van Minh by showing th...
The aim of this paper is to characterize the exponential stability of linear systems of difference e...
The paper investigates the exponential stability and exponential estimate of the norms of solutions ...
Abstract: The article deals with the vd-transformation in Banach space and its application in studyi...
AbstractWe give conditions for the robustness of nonuniform exponential dichotomies in Banach spaces...
AbstractWe study the stability under perturbations for delay difference equations in Banach spaces. ...
Abstract. The aim of this paper is to obtain some discrete-time characteriza-tions for the uniform e...
In this article we give some characterizations of exponential stability for a periodic discrete evol...
This article is devoted to the study of linear periodic dynamical systems, possessing the property o...
We prove that a general system of variational difference equations is uniformly exponentially stable...
The aim of this paper is to obtain new necessary and sufficient conditions for the uniform exponenti...
In this paper, by using a novel approach, we first prove a new generalization of discrete-type Halan...
The aim of this paper is to give several characterizations for nonuniform exponential trichotomy pro...
Using methods parallel to those of ordinary differential equations, stability of time-dependent diff...
AbstractThe aim of this work is to obtain very general characterizations for uniform exponential sta...
AbstractWe give an affirmative answer to a question formulated by Aulbach and Van Minh by showing th...
The aim of this paper is to characterize the exponential stability of linear systems of difference e...
The paper investigates the exponential stability and exponential estimate of the norms of solutions ...
Abstract: The article deals with the vd-transformation in Banach space and its application in studyi...
AbstractWe give conditions for the robustness of nonuniform exponential dichotomies in Banach spaces...
AbstractWe study the stability under perturbations for delay difference equations in Banach spaces. ...
Abstract. The aim of this paper is to obtain some discrete-time characteriza-tions for the uniform e...
In this article we give some characterizations of exponential stability for a periodic discrete evol...
This article is devoted to the study of linear periodic dynamical systems, possessing the property o...
We prove that a general system of variational difference equations is uniformly exponentially stable...
The aim of this paper is to obtain new necessary and sufficient conditions for the uniform exponenti...
In this paper, by using a novel approach, we first prove a new generalization of discrete-type Halan...
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