Sturm-Liouville Difference Equations Having Special Potentials

Abstract

In this paper, we present a new approachment for Sturm-Liouville problem having special potentials. We acquire the representations of solutions and asymptotic formulas for solutions with regard to initial conditions. Also, some applications are given to show the requirement of Sturm-Liouville difference equations having potential function in view of suitability to the spectral theory. The numerical outcomes for the eigenfunctions are compared with each other.