Spectral singularities of an impulsive Sturm-Liouville operators

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:71 Issue:4
Spectral singularities of an impulsive Sturm-Liouville operators

Spectral singularities of an impulsive Sturm-Liouville operators

Authors : Güler Başak ÖZNUR

Pages : 1080-1094

Doi:10.31801/cfsuasmas.1017204

View : 16 | Download : 15

Publication Date : 2022-12-30

Article Type : Research Paper

Abstract :In this paper, we handle an impulsive Sturm–Liouville equation with complex potential on the semi axis. The objective of this work is to examine some spectral properties of this impulsive Sturm–Liouville equation. By the help of a transfer matrix B, we obtain Jost solution of this problem. Furthermore, using Jost solution, we find Green function and resolvent operator of this equation. Finally, we consider two unperturbated impulsive Sturm–Liouville operators. We examine the eigenvalues and spectral singularities of these problems.
Keywords : Impulsive condition, Sturm Liouville equation, eigenvalues, Jost function, spectral singularity, resolvent operator

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