A study of impulsive discrete Dirac system with hyperbolic eigenparameter
Yıl: 2021 Cilt: 45 Sayı: 1 Sayfa Aralığı: 540 - 548 Metin Dili: İngilizce DOI: 10.3906/mat-2010-29 İndeks Tarihi: 06-07-2022
A study of impulsive discrete Dirac system with hyperbolic eigenparameter
Öz: Let L denote the discrete Dirac operator generated in ℓ2
(
N, C
2
)
by the difference operators of first order
{
△y
(2)
n + pny
(1)
n = λy(1)
n
△y
(1)
n−1 + qny
(2)
n = λy(2)
n ,
n ∈ N {k − 1, k, k + 1}
with boundary and impulsive conditions
y
(1)
0 = 0 ,
(
y
(1)
k+1
y
(2)
k+2 )
= θ
(
y
(2)
k−1
y
(1)
k−2
)
; θ =
(
θ1 θ2
θ3 θ4
)
, {θi}i=1,2,3,4 ∈ R
where {pn}n∈N
, {qn}n∈N
are real sequences, λ = 2 sinh (
z
2
)
is a hyperbolic eigenparameter and △ is forward operator.
In this paper, the spectral properties of L such as the spectrum, the eigenvalues, the scattering function and their
properties are given with an example in the special cases under the condition
∑∞
n=1
n (|pn| + |qn|) < ∞.
Anahtar Kelime: Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA | Köprübaşı T (2021). A study of impulsive discrete Dirac system with hyperbolic eigenparameter . , 540 - 548. 10.3906/mat-2010-29 |
Chicago | Köprübaşı Turhan A study of impulsive discrete Dirac system with hyperbolic eigenparameter . (2021): 540 - 548. 10.3906/mat-2010-29 |
MLA | Köprübaşı Turhan A study of impulsive discrete Dirac system with hyperbolic eigenparameter . , 2021, ss.540 - 548. 10.3906/mat-2010-29 |
AMA | Köprübaşı T A study of impulsive discrete Dirac system with hyperbolic eigenparameter . . 2021; 540 - 548. 10.3906/mat-2010-29 |
Vancouver | Köprübaşı T A study of impulsive discrete Dirac system with hyperbolic eigenparameter . . 2021; 540 - 548. 10.3906/mat-2010-29 |
IEEE | Köprübaşı T "A study of impulsive discrete Dirac system with hyperbolic eigenparameter ." , ss.540 - 548, 2021. 10.3906/mat-2010-29 |
ISNAD | Köprübaşı, Turhan. "A study of impulsive discrete Dirac system with hyperbolic eigenparameter ". (2021), 540-548. https://doi.org/10.3906/mat-2010-29 |
APA | Köprübaşı T (2021). A study of impulsive discrete Dirac system with hyperbolic eigenparameter . Turkish Journal of Mathematics, 45(1), 540 - 548. 10.3906/mat-2010-29 |
Chicago | Köprübaşı Turhan A study of impulsive discrete Dirac system with hyperbolic eigenparameter . Turkish Journal of Mathematics 45, no.1 (2021): 540 - 548. 10.3906/mat-2010-29 |
MLA | Köprübaşı Turhan A study of impulsive discrete Dirac system with hyperbolic eigenparameter . Turkish Journal of Mathematics, vol.45, no.1, 2021, ss.540 - 548. 10.3906/mat-2010-29 |
AMA | Köprübaşı T A study of impulsive discrete Dirac system with hyperbolic eigenparameter . Turkish Journal of Mathematics. 2021; 45(1): 540 - 548. 10.3906/mat-2010-29 |
Vancouver | Köprübaşı T A study of impulsive discrete Dirac system with hyperbolic eigenparameter . Turkish Journal of Mathematics. 2021; 45(1): 540 - 548. 10.3906/mat-2010-29 |
IEEE | Köprübaşı T "A study of impulsive discrete Dirac system with hyperbolic eigenparameter ." Turkish Journal of Mathematics, 45, ss.540 - 548, 2021. 10.3906/mat-2010-29 |
ISNAD | Köprübaşı, Turhan. "A study of impulsive discrete Dirac system with hyperbolic eigenparameter ". Turkish Journal of Mathematics 45/1 (2021), 540-548. https://doi.org/10.3906/mat-2010-29 |