Open AccessOn Exponential Dichotomy of Variational Difference Equations
Author(s) -
Bogdan Sasu
Publication year - 2009
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2009/324273
Subject(s) - mathematics , exponential function , exponential growth , exponential dichotomy , mathematical analysis , pure mathematics , differential equation
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. The obtained results are applied to difference equations and also to linear skew-product flows
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