In this study, we consider a boundary value problem generated by the Sturm-Liouville equation with a frozen argument and with non-separated boundary conditions on a time scale. Firstly, we present some solutions and the characteristic function of the problem on an arbitrary bounded time scale. Secondly, we prove some properties of eigenvalues and obtain a formulation for the eigenvalues-number on a finite time scale. Finally, we give an asymptotic formula for eigenvalues of the problem on another special time scale: $\mathbb{T}=[\alpha,\delta_{1}]\bigcup[\delta_{2},\beta].$
Dynamic equations time scales measure chains eigenvalue problems Sturm-Liouville theory
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Birincil Dil | İngilizce |
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Konular | Uygulamalı Matematik |
Bölüm | Research Article |
Yazarlar | |
Proje Numarası | - |
Yayımlanma Tarihi | 30 Eylül 2022 |
Gönderilme Tarihi | 13 Aralık 2021 |
Kabul Tarihi | 3 Mart 2022 |
Yayımlandığı Sayı | Yıl 2022 Cilt: 71 Sayı: 3 |
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.