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  • Research Article
  • Open Access

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

Advances in Difference Equations20062006:058453

https://doi.org/10.1155/ADE/2006/58453

  • Received: 14 November 2005
  • Accepted: 17 May 2006
  • Published:

Abstract

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.

Keywords

  • Differential Equation
  • Banach Space
  • Phase Space
  • Partial Differential Equation
  • Ordinary Differential Equation

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Authors’ Affiliations

(1)
Department of Applied Mathematics, Hanoi University of Technology, Khoa Toan Ung Dung Dai Hoc Bach Khoa Ha Noi, 1 Dai Co Viet Street, Hanoi, Vietnam

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