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  • Research Article
  • Open Access

Multiple nonnegative solutions for BVPs of fourth-order difference equations

Advances in Difference Equations20062006:089585

  • Received: 31 March 2006
  • Accepted: 18 September 2006
  • Published:


First, existence criteria for at least three nonnegative solutions to the following boundary value problem of fourth-order difference equation Δ4x(t-2) = a(t)f(x(t)),t [2, T], x(0) = x(T + 2) = 0, Δ2x(0) = Δ2x(T) = 0 are established by using the well-known Leggett-Williams fixed point theorem, and then, for arbitrary positive integer m, existence results for at least 2m-1 nonnegative solutions are obtained.


  • Differential Equation
  • Positive Integer
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis


Authors’ Affiliations

Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou, China


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© Jian-Ping Sun 2006

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