The goal of this paper is to study the finite spectrum of Sturm-Liouville operator with δ- interactions. Such an equation gives us a Sturm-Liouville boundary value problem which has n transmission conditions. We show that for any positive numbers mj (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 δ-interactions, which have exactly d eigenvalues. Where d is the sum of mj’s.
Kablan, Abdullah; Çetin, Mehmet A.; and Manafov, Manaf D.
The Finite Spectrum of Sturm-Liouville Operator With δ-Interactions,
Applications and Applied Mathematics: An International Journal (AAM), Vol. 13,
1, Article 32.
Available at: https://digitalcommons.pvamu.edu/aam/vol13/iss1/32