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### Multiple nonnegative solutions for BVPs of fourth-order difference equations

First, existence criteria for at least three nonnegative solutions to the following boundary value problem of fourth-order difference equation Î”^{4}*x*(*t*-2) = *a*(*t*)*f*(*x*(*t*)),*t* âˆˆ [2, *T*], *x*(0) = *x*(*T* + 2) = 0, Î”^{2}*x*(0) = Î”^{2}*x*(

*Advances in Difference Equations*2006 2006:089585