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Unbounded Perturbations of Nonlinear Second-Order Difference Equations at Resonance

Abstract

We study the existence of solutions of nonlinear discrete boundary value problems , , , where is the first eigenvalue of the linear problem , , , satisfies some “asymptotic nonuniform” resonance conditions, and for .

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Correspondence to Ruyun Ma.

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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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Ma, R. Unbounded Perturbations of Nonlinear Second-Order Difference Equations at Resonance. Adv Differ Equ 2007, 096415 (2007). https://doi.org/10.1155/2007/96415

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Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation