Investigation of an impulsive Sturm-Liouville operator on semi axis

Year 2019, Volume: 48 Issue: 5, 1409 - 1416, 08.10.2019

Şeyhmus Yardımcı , İbrahim Erdal

Abstract

The objective of this work is to investigate some spectral properties of an impulsive Sturm-Liouville boundary value problem on the semi axis. By the help of analytical properties of the Jost solution and asymptotic properties of a transfer matrix $M$, we examine the existence of the spectral singularities and eigenvalues of the impulsive operator generated by the Sturm-Liouville equation.

Keywords

Sturm-Liouville operators, boundary value problems, impulsive conditions, asymptotics, spectral singularities

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