منابع مشابه
On the Robustness of Exponential Dichotomies
For linear evolution families in Banach spaces, we establish the robustness of a weaker notion of exponential dichotomy. This notion allows the contraction and expansion along the stable and unstable subspaces to be nonuniform and requires nothing from the angles between these subspaces.
متن کاملRobustness of nonuniform dichotomies with different growth rates
For nonautonomous linear differential equations v′ = A(t)v in a Banach space, we consider general exponential dichotomies that extend the notion of (uniform) exponential dichotomy in various ways. Namely, the new notion allows: stable and unstable behavior with respect to growth rates e for an arbitrary function ρ(t); nonuniform exponential behavior, causing that any stability or conditional st...
متن کاملNonuniform Exponential Dichotomies in Terms of Lyapunov Functions for Noninvertible Linear Discrete-Time Systems
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.
متن کاملDevelopment Dichotomies
THE WORLD IS DIVIDED into two groups of people: those who divide the world into two groups of people, and those who don't. As I evidently belong to the former, I believe that the nature of various divisions can throw light on what has come to be known as the rise and decline of development economics. Albert Hirschman, in his stimulating contribution to the international symposium on Latin Ameri...
متن کاملMetric Dichotomies
These are notes from talks given at ICMS, Edinburgh, 4/2007 (“Geometry and Algorithms workshop”) and at Bernoulli Center, Lausanne 5/2007 (“Limits of graphs in group theory and computer science”). We survey the following type of dichotomies exhibited by certain classes X of finite metric spaces: For every host space H, either all metrics in X embed almost isometrically in H, or the distortion o...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 2015
ISSN: 0025-5645
DOI: 10.2969/jmsj/06710293