Abstract
We consider the discrete right definite Sturm-Liouville problems with nonlinear eigenparameter dependent boundary conditions
,
where T > 1 is an integer and λ is the spectrum parameter. We obtain the existence of the eigenvalues, the oscillation properties of the eigenfunctions and the interlacing results of the eigenvalues of the above problem with the eigenvalues of the Dirichlet problem and the Neumann problem.