A study of impulsive discrete Dirac system with hyperbolic eigenparameter
Yazarlar (1)
Prof. Dr. Turhan KÖPRÜBAŞI Kastamonu 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 (2021) | ||
| Dergi Tarandığı Indeksler | SCI-Expanded | ||
| Makale Dili | Türkçe | Basım Tarihi | 01-2021 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 21-01-2021 |
| Cilt / Sayı / Sayfa | 45 / 1 / 540–548 | DOI | 10.3906/MAT-2010-29 |
| Makale Linki | https://doi.org/10.3906/mat-2010-29 | ||
| UAK Araştırma Alanları |
Matematiksel Analiz
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| Özet |
| Let denote the discrete Dirac operator generated in $\ell _ {2}\left (% TCIMACRO {\U {2115}}%% BeginExpansion\mathbb {N}% EndExpansion,%% TCIMACRO {\U {2102}}%% BeginExpansion\mathbb {C}% EndExpansion^{2}\right) $ by the difference operators of first order%\begin {equation*}\left\{\begin {array}{cc}{\bigtriangleup y_ {n}^{\left (2\right)}+ p_ {n} y_ {n}^{\left (1\right)}=\lambda y_ {n}^{(1)}} &\\{\bigtriangleup y_ {n-1}^{\left (1\right)}+ q_ {n} y_ {n}^{\left (2\right)}=\lambda y_ {n}^{(2)}},\end {array}\text {} n\in\mathbb {N}\setminus\left\{k-1, k, k+ 1\right\}\right.\end {equation*} with boundary and impulsive conditions%\begin {equation*}\begin {array}{c} y_ {0}^{(1)}= 0\text {},\\\\\left (\begin {array}{c} y_ {k+ 1}^{(1)}\\y_ {k+ 2}^{(2)}%\end {array}%\right)=\theta\left (\begin {array}{c} y_ {k-1}^{(2)}\\y_ {k-2}^{(1)}%\end {array}%\right);\text {}\theta=\left (\begin {array}{cc}\theta _ {1} &\theta _ {2}\\\theta _ {3} &\theta _ {4}%\end {array}%\right),\text {}\left\{\theta _ {i}\right\} _ {i= 1, 2, 3, 4}\in% TCIMACRO {\U {211d}}%% BeginExpansion\mathbb {R}% EndExpansion%\end {array}%\end {equation*}% where $\left\{p_ {n}\right\} _ {n\in% TCIMACRO {\U {2115}}%% BeginExpansion\mathbb {N}% EndExpansion}, $$\left\{q_ {n}\right\} _ {n\in% TCIMACRO {\U {2115}}%% BeginExpansion\mathbb {N}% EndExpansion} $ are real sequences, is a hyperbolic eigenparameter and is forward operator. In this paper, the spectral properties of such as the spectrum, the eigenvalues, the scattering function and their properties are given with an example in the special cases under the condition%\begin {equation*}\sum\limits_ {n= 1}^{\infty} n\left (\left\vert p_ {n}\right … |
| Anahtar Kelimeler |
| Discrete Dirac equations | eigenvalues | hyperbolic eigenparameter | impulsive condition | scattering function |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 3 |
| Scopus | 5 |