Difference equations Discrete evolution family Evolution family Exponential dichotomy Exponential stability
Issue Date:
2001
Publisher:
Computers and Mathematics with Applications
Citation:
Volume 42, Issue 5-Mar, Page 301-311
Abstract:
For a sequence of bounded linear operator {An}n
??=0 on a Banach space X, we investigate the
characterization of exponential dichotomy of the difference equations vn+1 = Anvn. We characterize the
exponential dichotomy of difference equations in terms of the existence of solutions to the equations vn+1 =
Anvn + fn in l?? space. Then we apply the result to study the exponential dichotomy of evolution families
generated by evolution equations. ?? 2001 Elsevier Science Ltd.
