Abstract:

In this paper, we partition the bounded time scale such that the coefficients of Sturm-Liouville problems satisfy some certain conditions on adjacent subintervals. In this case, we can construct a kind of Sturm-Liouville problems with finite spectrum on bounded time scales, and it is the extension of classical SturmLiouville problems defined on continuous intervals.

Key words: Sturm-Liouville problems; time scales; finite; eigenvalues