Discrete impulsive Sturm-Liouville equation with hyperbolic eigenparameter
Yazarlar (2)
Prof. Dr. Turhan KÖPRÜBAŞI Kastamonu Üniversitesi, Türkiye
Yelda Aygar Küçükevcilioğlu Ankara Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SSCI, AHCI, SCI, SCI-Exp dergilerinde yayınlanan tam makale)
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| Dergi Adı | Turkish Journal of Mathematics (Q2) | ||
| Dergi ISSN | 1300-0098 Dergi Bilgileri (2022) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | Türkçe | Basım Tarihi | 01-2022 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 01-01-2021 |
| Cilt / Sayı / Sayfa | 46 / 0 / 387–396 | DOI | 10.3906/mat-2104-97 |
| Makale Linki | http://dx.doi.org/10.3906/mat-2104-97 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| Let L denote the selfadjoint difference operator of second order with boundary and impulsive conditions generated in l2(ℕ) by an-1 yn-1+ bn yn+ an yn+ 1=(2 cosh z) yn, n∈ ℕ\{k-1, k, k+ 1}, y0= 0, yk+ 1= ϑ1 yk-1 Δyk+ 1= ϑ2∇ yk-1, ϑ1, ϑ2∈ ℝ where {an} n∈ ℕ,{bn} n∈ ℕ are real sequences and Δ,∇ are respectively forward and backward operators. In this paper, the spectral properties of L such as the resolvent operator, the spectrum, the eigenvalues, the scattering function and their properties are investigated. Moreover, an example about the scattering function and the existence of eigenvalues is given in the special cases, if... n)| 1-an|+| bn|) <∞. |
| Anahtar Kelimeler |
| Discrete equations | Eigenvalues | Hyperbolic eigenparameter | Impulsive condition | Resolvent operator | Scattering function | Spectral analysis |
| Atıf Sayıları | |
| Web of Science | 6 |
| Scopus | 7 |