Abstract

Let T > 3 be a positive integer and T = { 0 , 1 , 2 , … , T − 1 } . We prove the existence of positive periodic solutions of the nonlinear discrete boundary value problem Δ u ( t ) = a ( t ) g ( u ( t ) ) u ( t ) − λ b ( t ) f ( u ( t − τ ( t ) ) ) , t ∈ T , u ( 0 ) = u ( T ) . Our approach is based upon the global bifurcation techniques.

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