... EquationsVolume 2008 , Article ID 586020, 16 pagesdoi:10.1155 /2008 /586020Research ArticleExistence and Multiple Solutions forNonlinear Second-Order Discrete Problems with Minimum and MaximumRuyun Ma and ... Spring-sun Program no. Z2004-1-62033,SRFDPGrant no. 2006 0736001, and the SRF for ROCS, SEM 2006 311.References1 S. A. Brykalov, Solutions with a prescribed minimum and maximum,” Differencial’nye ... u2k is a solution of 1.5 and 2.4.Furthermore, since φΔu1C and φΔu2 <C, u1/ u2.Next, we need to prove BVPs 1.5, 3.2 ,and 1.5 and 3.3 have solutions, respectively.SetΩu,...