Open Access

Exponential dichotomy of difference equations in l p -phase spaces on the half-line

Advances in Difference Equations20062006:058453

DOI: 10.1155/ADE/2006/58453

Received: 14 November 2005

Accepted: 17 May 2006

Published: 29 August 2006


For a sequence of bounded linear operators on a Banach space X, we investigate the characterization of exponential dichotomy of the difference equations vn+1 = A n v n . We characterize the exponential dichotomy of difference equations in terms of the existence of solutions to the equations vn+1 = A n v n + f n in l p spaces (1 ≤ p < ∞). Then we apply the results to study the robustness of exponential dichotomy of difference equations.


Authors’ Affiliations

Department of Applied Mathematics, Hanoi University of Technology


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© N.T. Huy and V.T.N. Ha 2006

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