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Advances in Continuous and Discrete Models

Theory and Modern Applications

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Construction of upper and lower solutions for singular discrete initial and boundary value problems via inequality theory

Advances in Difference Equations volume 2005, Article number: 459124 (2005) Cite this article

Abstract

We present new existence results for singular discrete initial and boundary value problems. In particular our nonlinearity may be singular in its dependent variable and is allowed to change sign.

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Authors and Affiliations

  1. Department of Applied Mathematics, Hohai University, Nanjing, 210098, China

    Haishen Lü

  2. Department of Mathematics, National University of Ireland, Galway, Ireland

    Donal O'Regan

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  1. Haishen Lü
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  2. Donal O'Regan
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Correspondence to Haishen Lü.

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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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Lü, H., O'Regan, D. Construction of upper and lower solutions for singular discrete initial and boundary value problems via inequality theory. Adv Differ Equ 2005, 459124 (2005). https://doi.org/10.1155/ADE.2005.205

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  • DOI: https://doi.org/10.1155/ADE.2005.205