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  • Research Article
  • Open Access

Unbounded Perturbations of Nonlinear Second-Order Difference Equations at Resonance

Advances in Difference Equations20072007:096415

  • Received: 19 March 2007
  • Accepted: 30 May 2007
  • Published:


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 .


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


Authors’ Affiliations

Department of Mathematics, Northwest Normal University, Lanzhou, 730070, China


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© Ruyun Ma. 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.