Abstract
Consider the multiplicity of solutions to the nonlinear second-order discrete problems with
minimum and maximum: Δ2u(k−1)=f(k,u(k),Δu(k)), k∈T,
min{u(k):k∈T^}=A,
max{u(k):k∈T^}=B,
where f:T×ℝ2→ℝ, a,b∈ℕ are fixed numbers satisfying b≥a+2, and A,B∈ℝ are satisfying
B>A,
T={a+1,…,b−1}, T^={a,a+1,…,b−1,b}.