Results 11 to 20 of about 1,071,693 (154)
On Exponential Dichotomy of Variational Difference Equations [PDF]
Discrete 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]
, 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
Statistical procedures based on exponential scores [PDF]
, 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
EXPONENTIAL DICHOTOMY OF DISCRETE TIME LINEAR SYSTEMS WITH MARKOVIAN JUMPS AND INDEPENDENT RANDOM PERTURBATIONS [PDF]
Fiabilitate şi Durabilitate, 2022 This paper discuses exponential dichotomy problems for a class of discrete-time systems affected by both Markovian jumps and independent random perturbations.
Viorica Mariela UNGUREANU +1 more
doaj
On uniformity of exponential dichotomies for delay equations
Journal of Differential Equations, 2004 Consider the linear functional-differential equation \[ \dot x(t)=L x_t\tag{*} \] where \(L:C([-r,0],\mathbb{R}^n)\) is a bounded linear map, \(r>0\) and \(x_t(s)=x(s+t),s\in[-r,0]\). It is proved that (*) has no uniform exponential dichotomy.
Hale, Jack K., Zhang, Weinian
openaire +2 more sources
On uniform exponential splitting for noninvertible evolution operators in Banach Spaces
Annals of the West University of Timisoara: Mathematics and Computer Science, 2015 The paper considers the general concept of uniform exponential splitting as a generalization of uniform exponential dichotomy property for evolution operators in Banach spaces.
Mihiţ Claudia Luminiţa +2 more
doaj +1 more source
Uniformly exponential growth and mapping class groups of surfaces [PDF]
, 2007 We show that the mapping class group (as well as closely related groups) of an orientable surface with finitely generated fundamental group has uniformly exponential growth.
Javier Aramayona +11 more
core +3 more sources
Nonexistence of Uniform Exponential Dichotomies for Delay Equations
Journal of Differential Equations, 2002 The aim of this paper is to show an error in the certain article by \textit{W. Zhang} and \textit{J. Wu} [J. Differ. Equation 165, No. 2, 414-429 (2000; Zbl 0967.34065)]. These authors claimed that for any \(\mu\in\mathbb{R}\) there exist constants \(\gamma_2> \gamma_1>0\) and \(K\), \(K\) which can be chosen independent of \(\mu\), such that \[ \bigl\|
openaire +1 more source
On (h,k)-Dichotomies for Nonautonomous Linear Difference Equations in Banach Spaces
International Journal of Differential Equations, 2013 This paper considers two general concepts of dichotomy for noninvertible and nonautonomous linear discrete-time systems in Banach spaces. These concepts use two types of dichotomy projections sequences (invariant and strongly invariant) and generalize ...
Mihai Gabriel Babuţia +2 more
doaj +1 more source