Sturm-Liouville Problems With Finitely Many Point Δ-Interactions And Eigen-Parameter In Boundary Condition

Abstract

This paper deals with the Sturm-Liouville equation with a finite number of point delta-interactions and eigenvalue parameter contained in the boundary condition. Sturm-Liouville problem with discontinuities at one or two points and its different variants have already been investigated. In this study we extend these results to a finite number of point delta-interactions case. The crucial part of this study is the using graph demonstration to obtain asymptotic representation of solutions.