ON SOME SPECTRAL PROPERTIES OF DISCRETE STURM-LIOUVILLE OPERATOR

Time scale theory helps us to combine differential equations with difference equations. Especially in models such as biology, medicine, and economics, since the independent variable is handled discrete, it requires analyze discrete clusters. In these cases, defined $\mathbb{Z}$ are considered. Boundary value problems (BVP's) used solve model many physical areas. this study, we examined spectral features of Sturm-Liouville problem. We have given some examples make subject understandable. The problem solved by using Laplace transform. classical case, transform preferred because a very useful method thought that will show similar properties. other obtained for solution solutions according states characteristic equation $\lambda$ parameter. solution, Wronskian Cramer methods used.