- Hacettepe Journal of Mathematics and Statistics
- Vol: 48 Issue: 5
- Investigation of an impulsive Sturm-Liouville operator on semi axis
Investigation of an impulsive Sturm-Liouville operator on semi axis
Authors : Şeyhmus Yardimci, Ibrahim Erdal
Pages : 1409-1416
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Publication Date : 2019-10-08
Article Type : Research
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