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Consider the multiplicity of solutions to the nonlinear second-order discrete problems with minimum and maximum: ÃŽÂ”2u(kÃ¢ÂˆÂ’1)=f(k,u(k),ÃŽÂ”u(k)), kÃ¢ÂˆÂˆT,    min{u(k):kÃ¢ÂˆÂˆT^}=A,    maxÃ¢ÂÂ¡{u(k):kÃ¢ÂˆÂˆT^}=B,    where f:TÃƒÂ—Ã¢Â„Â2Ã¢Â†Â’Ã¢Â„Â,Ã¢Â€Â‰Ã¢Â€Â‰a,bÃ¢ÂˆÂˆÃ¢Â„Â• are fixed numbers satisfying bÃ¢Â‰Â¥a+2,Ã¢Â€Â‰Ã¢Â€Â‰andÃ¢Â€Â‰Ã¢Â€Â‰A,BÃ¢ÂˆÂˆÃ¢Â„Â are satisfying    B>A,Ã¢Â€Â‰Ã¢Â€Â‰T={a+1,Ã¢Â€Â¦,bÃ¢ÂˆÂ’1},Ã¢Â€Â‰Ã¢Â€Â‰T^={a,a+1,Ã¢Â€Â¦,bÃ¢ÂˆÂ’1,b}

Existence and Multiple Solutions for Nonlinear Second-Order Discrete Problems with Minimum and Maximum