We consider the discrete right definite Sturm–Liouville problems
where
[1,T]Z={1,2,⋯,T},
m(t)>0 for
t∈[1,T]Z,
(−1)iδi≤0, where
δi=aidi−bici for
i=0,1. We obtain the existence of the eigenvalues, the sign-changing times of the eigenfunctions and the interlacing results of the eigenvalues of the above problem, the Dirichlet problem and the Neumann problem.