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

Advances in Difference Equations volume 2006, Article number: 058453 (2006) Cite this article

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.

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Authors and 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

    Nguyen Thieu Huy & Vu Thi Ngoc Ha

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  1. Nguyen Thieu Huy
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  2. Vu Thi Ngoc Ha
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Correspondence to Nguyen Thieu Huy.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Huy, N.T., Ngoc Ha, V.T. Exponential dichotomy of difference equations in l p -phase spaces on the half-line. Adv Differ Equ 2006, 058453 (2006). https://doi.org/10.1155/ADE/2006/58453

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

Keywords

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