Abstract
Let T be an integer with T ≥ 3, and let T : {1, . . . , T}. We study the existence and uniqueness of solutions for the following two-point boundary value problems of second-order difference systems: Δu t − 1 f t, u t e t , t ∈ T, u 0 u T 1 0, where e : T → R and f : T × R → R is a potential function satisfying f t, · ∈ C1 R and some nonresonance conditions. The proof of the main result is based upon a mini-max theorem.
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