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Dergiler / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 2

On the spectral and scattering properties of eigenparameter dependent discrete impulsive Sturm–Liouville equations

Yelda AYGAR KÜÇÜKEVCİLİOĞLU
Elgiz BAIRAMOV
Güher Gülçehre ÖZBEY
Sayfa
988–1000
Yayın Tarihi
2022-11-04
DOI
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Finally, we give an example in which the main results are made explicit.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:This work develops scattering and spectral analysis of a discrete impulsive Sturm–Liouville equation withspectral parameter in boundary condition.
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Temel Bulgular & Veri:Giving the Jost solution and scattering solutions of this problem, we findscattering function of the problem.
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Sonuç & Katkı:Finally, we give an example in which the main results are made explicit.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

This work develops scattering and spectral analysis of a discrete impulsive Sturm–Liouville equation withspectral parameter in boundary condition. Giving the Jost solution and scattering solutions of this problem, we findscattering function of the problem. Discussing the properties of scattering function, scattering solutions, and asymptoticbehavior of the Jost solution, we find the Green function, resolvent operator, continuous and point spectrum of theproblem. Finally, we give an example in which the main results are made explicit.

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Bu Makaleye Atıf Yap

KÜÇÜKEVCİLİOĞLU, Y. A., BAIRAMOV, E., ÖZBEY, G. G. (2022). On the spectral and scattering properties of eigenparameter dependent discrete impulsive Sturm–Liouville equations. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 2, 988–1000. https://ajindex.com/articles/607397

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Kaynakça (17)

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