GREEN FUNCTION OF ONE DISCONTINUOUS STURM LIOUVILLE PROBLEM
Yazarlar (2)
O Demir
Z Akdoğan
Makale Türü Özgün Makale (Diğer hakemli uluslarası dergilerde yayınlanan tam makale)
Dergi Adı Bulletin of Pure and Applied Sciences
Makale Dili İngilizce Basım Tarihi 01-2010
Cilt / Sayı / Sayfa 29 / 2 / 435–452 DOI
UAK Araştırma Alanları
Uygulamalı Matematik
Özet
In this study, we consider one discontinuous Sturm-liouville problem with two supplementary transmission at the one inner point of discontinuity and seek some spectral properties of this problem when the potential of the differantial equation may have discontinuity at the one iner point and the eigenparameter appears in the differential equation. We give an operator-theoretic interpretation and obtain asymptotic formulas for eigenvalues and corresponding eigenfunctions. Finally, we construct Green's function and obtain the asymptotic representation of Green's function.
Anahtar Kelimeler
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Google Scholar 3

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