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, and the nonuniform exponential dichotomy of differential systems, on the other. Also, Some results due to Hartman, Massera, Schäffer and Coppel are generalized as well
AbstractThis paper is concerned with linear nonautonomous systems of ordinary differential equations...
We give new and very general characterizations for uniform exponential dichotomy of variational diff...
I present an elementary Functional Analytic proof of the roughness of Exponential Dichotomy of Ordin...
The problem of nonuniform exponential dichotomy of linear differential\ud systems in Banach spaces i...
For a dynamics with continuous time, we consider the notion of a strong exponential dichotomy with r...
The relation between the notions of nonuniform asymptotic stability and admissibility is considered....
For finite-dimensional linear differential systems with bounded coefficients, we prove that their ex...
The aim of this paper is to give several characterizations for nonuniform exponential trichotomy pro...
A proof of the existence of an exponential dichotomy for the linear system x'(t) = A(t)x(t) is given...
AbstractWe give conditions for the robustness of nonuniform exponential dichotomies in Banach spaces...
AbstractWe prove that the admissibility of any pair of vector-valued Schäffer function spaces (satis...
Tempered exponential dichotomy formulates the nonuniform hyperbolicity for random dynamical systems....
For an arbitrary noninvertible evolution family on the half-line and for $\rho \colon [0, \infty)\t...
The present paper deals with two of the most significant behaviors in the theory of dynamical system...
In this paper we study the roughness of (ℤ+,ℤ-)-nonuniform exponential dichotomy for nonautonomous d...
AbstractThis paper is concerned with linear nonautonomous systems of ordinary differential equations...
We give new and very general characterizations for uniform exponential dichotomy of variational diff...
I present an elementary Functional Analytic proof of the roughness of Exponential Dichotomy of Ordin...
The problem of nonuniform exponential dichotomy of linear differential\ud systems in Banach spaces i...
For a dynamics with continuous time, we consider the notion of a strong exponential dichotomy with r...
The relation between the notions of nonuniform asymptotic stability and admissibility is considered....
For finite-dimensional linear differential systems with bounded coefficients, we prove that their ex...
The aim of this paper is to give several characterizations for nonuniform exponential trichotomy pro...
A proof of the existence of an exponential dichotomy for the linear system x'(t) = A(t)x(t) is given...
AbstractWe give conditions for the robustness of nonuniform exponential dichotomies in Banach spaces...
AbstractWe prove that the admissibility of any pair of vector-valued Schäffer function spaces (satis...
Tempered exponential dichotomy formulates the nonuniform hyperbolicity for random dynamical systems....
For an arbitrary noninvertible evolution family on the half-line and for $\rho \colon [0, \infty)\t...
The present paper deals with two of the most significant behaviors in the theory of dynamical system...
In this paper we study the roughness of (ℤ+,ℤ-)-nonuniform exponential dichotomy for nonautonomous d...
AbstractThis paper is concerned with linear nonautonomous systems of ordinary differential equations...
We give new and very general characterizations for uniform exponential dichotomy of variational diff...
I present an elementary Functional Analytic proof of the roughness of Exponential Dichotomy of Ordin...