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.
Impulsive condition Sturm-Liouville equation, eigenvalues Jost function spectral singularity resolvent operator
Birincil Dil | İngilizce |
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Konular | Matematik |
Bölüm | Research Article |
Yazarlar | |
Yayımlanma Tarihi | 30 Aralık 2022 |
Gönderilme Tarihi | 1 Kasım 2021 |
Kabul Tarihi | 16 Haziran 2022 |
Yayımlandığı Sayı | Yıl 2022 Cilt: 71 Sayı: 4 |
Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.
This work is licensed under a Creative Commons Attribution 4.0 International License.