Scattering analysis of a quantum impulsive boundary value problem with spectral parameter

Yelda AYGAR KÜÇÜKEVCİLİOĞLU, (Ankara Üniversitesi, Matematik Bölümü, Ankara, Türkiye)
Güher Gülçehre ÖZBEY (Ankara Üniversitesi, Matematik Bölümü, Ankara, Türkiye)
Hacettepe Journal of Mathematics and Statistics
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Yıl: 2022 Cilt: 51 Sayı: 1 Sayfa Aralığı: 142 - 155 Metin Dili: İngilizce DOI: 10.15672/hujms.912015 İndeks Tarihi: 11-04-2023

Scattering analysis of a quantum impulsive boundary value problem with spectral parameter

Öz:
We are interested in scattering and spectral analysis of an impulsive boundary value prob- lem (IBVP) generated with a q-difference equation with eigenparameter in boundary con- dition in addition to impulsive conditions. We work on the Jost solution and scattering function of this problem, and by using the scattering solutions, we establish the resol- vent operator, continuous spectrum and point spectrum of this problem. Furthermore, we discuss asymptotic behavior of the Jost solution and properties of eigenvalues. Also, we illustrate our results by a detailed example which is the special case of main problem.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
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APA aygar y, ÖZBEY G (2022). Scattering analysis of a quantum impulsive boundary value problem with spectral parameter. , 142 - 155. 10.15672/hujms.912015
Chicago aygar yelda,ÖZBEY Güher Gülçehre Scattering analysis of a quantum impulsive boundary value problem with spectral parameter. (2022): 142 - 155. 10.15672/hujms.912015
MLA aygar yelda,ÖZBEY Güher Gülçehre Scattering analysis of a quantum impulsive boundary value problem with spectral parameter. , 2022, ss.142 - 155. 10.15672/hujms.912015
AMA aygar y,ÖZBEY G Scattering analysis of a quantum impulsive boundary value problem with spectral parameter. . 2022; 142 - 155. 10.15672/hujms.912015
Vancouver aygar y,ÖZBEY G Scattering analysis of a quantum impulsive boundary value problem with spectral parameter. . 2022; 142 - 155. 10.15672/hujms.912015
IEEE aygar y,ÖZBEY G "Scattering analysis of a quantum impulsive boundary value problem with spectral parameter." , ss.142 - 155, 2022. 10.15672/hujms.912015
ISNAD aygar, yelda - ÖZBEY, Güher Gülçehre. "Scattering analysis of a quantum impulsive boundary value problem with spectral parameter". (2022), 142-155. https://doi.org/10.15672/hujms.912015
APA aygar y, ÖZBEY G (2022). Scattering analysis of a quantum impulsive boundary value problem with spectral parameter. Hacettepe Journal of Mathematics and Statistics, 51(1), 142 - 155. 10.15672/hujms.912015
Chicago aygar yelda,ÖZBEY Güher Gülçehre Scattering analysis of a quantum impulsive boundary value problem with spectral parameter. Hacettepe Journal of Mathematics and Statistics 51, no.1 (2022): 142 - 155. 10.15672/hujms.912015
MLA aygar yelda,ÖZBEY Güher Gülçehre Scattering analysis of a quantum impulsive boundary value problem with spectral parameter. Hacettepe Journal of Mathematics and Statistics, vol.51, no.1, 2022, ss.142 - 155. 10.15672/hujms.912015
AMA aygar y,ÖZBEY G Scattering analysis of a quantum impulsive boundary value problem with spectral parameter. Hacettepe Journal of Mathematics and Statistics. 2022; 51(1): 142 - 155. 10.15672/hujms.912015
Vancouver aygar y,ÖZBEY G Scattering analysis of a quantum impulsive boundary value problem with spectral parameter. Hacettepe Journal of Mathematics and Statistics. 2022; 51(1): 142 - 155. 10.15672/hujms.912015
IEEE aygar y,ÖZBEY G "Scattering analysis of a quantum impulsive boundary value problem with spectral parameter." Hacettepe Journal of Mathematics and Statistics, 51, ss.142 - 155, 2022. 10.15672/hujms.912015
ISNAD aygar, yelda - ÖZBEY, Güher Gülçehre. "Scattering analysis of a quantum impulsive boundary value problem with spectral parameter". Hacettepe Journal of Mathematics and Statistics 51/1 (2022), 142-155. https://doi.org/10.15672/hujms.912015
Sayfa Oluşturulma Tarihi
24-04-2024 12:32

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