Abstract:
The goal of this paper is to study the finite spectrum of Sturm-Liouville operator with delta-interactions. Such an equation gives us a Sturm-Liouville boundary value problem which has n transmission conditions. We show that for any positive numbers m(j) (j = 0; 1, . . . , n) that are related to number of partition of the intervals between two successive interaction points, we can construct a Sturm-Liouville equations with delta-interactions, which have exactly d eigenvalues. Where d is the sum of m(j)'s.
