Copyright © 2013 Ioan-Lucian Popa et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. 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. 1
For linear nonautonomous differential equations we introduce a new family of spectrums defined with ...
AbstractThe importance of Lyapunov functions is well known. In the general setting of nonautonomous ...
This paper presents an alternative approach for obtaining a converse Lyapunov theorem for discrete-t...
The aim of this paper is to give characterizations in terms of Lyapunov functions for nonuniform exp...
AbstractFor nonautonomous linear equations x′=A(t)x, we show how to characterize completely nonunifo...
AbstractFor a linear nonautonomous dynamics with discrete time, we study the relation between nonuni...
The aim of this paper is to characterize a general property of (h,k)-trichotomy through some Lyapuno...
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform ...
Tempered exponential dichotomy formulates the nonuniform hyperbolicity for random dynamical systems....
We study two nonuniform polynomial trichotomy concepts for linear discrete-time systems in Banach sp...
The aim of this paper is to give several characterizations for nonuniform exponential trichotomy pro...
For nonautonomous linear differential equationsv0 = A(t)v in a Banach space, we consider general exp...
We obtain necessary and sufficient conditions for the existence of two- sided nonuniform exponential...
AbstractFor a nonautonomous dynamics with discrete time obtained from the product of linear operator...
Lyapunov and exponential dichotomy spectral theory is extended from ordinary differen-tial equations...
For linear nonautonomous differential equations we introduce a new family of spectrums defined with ...
AbstractThe importance of Lyapunov functions is well known. In the general setting of nonautonomous ...
This paper presents an alternative approach for obtaining a converse Lyapunov theorem for discrete-t...
The aim of this paper is to give characterizations in terms of Lyapunov functions for nonuniform exp...
AbstractFor nonautonomous linear equations x′=A(t)x, we show how to characterize completely nonunifo...
AbstractFor a linear nonautonomous dynamics with discrete time, we study the relation between nonuni...
The aim of this paper is to characterize a general property of (h,k)-trichotomy through some Lyapuno...
The existence of a Lyapunov function is established following a method of Yoshizawa for the uniform ...
Tempered exponential dichotomy formulates the nonuniform hyperbolicity for random dynamical systems....
We study two nonuniform polynomial trichotomy concepts for linear discrete-time systems in Banach sp...
The aim of this paper is to give several characterizations for nonuniform exponential trichotomy pro...
For nonautonomous linear differential equationsv0 = A(t)v in a Banach space, we consider general exp...
We obtain necessary and sufficient conditions for the existence of two- sided nonuniform exponential...
AbstractFor a nonautonomous dynamics with discrete time obtained from the product of linear operator...
Lyapunov and exponential dichotomy spectral theory is extended from ordinary differen-tial equations...
For linear nonautonomous differential equations we introduce a new family of spectrums defined with ...
AbstractThe importance of Lyapunov functions is well known. In the general setting of nonautonomous ...
This paper presents an alternative approach for obtaining a converse Lyapunov theorem for discrete-t...