Universal Journal of Mathematics and Applications
[ X ]
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Emrah Evren KARA
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this paper, we shall study the spectral properties of the non-selfadjoint operator in the space [Formula presented] generated by the Sturm-Liouville differential equation [Formula presented] with the integral type boundary condition [Formula presented] and the non-standard weight function where |?|+|?| ? 0. There are an enormous number of papers considering the positive values of ?(x) for both continuous and discontinuous cases. The structure of the weight function affects the analytical properties and representations of the solutions of the equation. Differently from the classical literature, we used the hyperbolic type representations of the fundamental solutions of the equation to obtain the spectrum of the operator. Moreover, the conditions for the finiteness of the eigenvalues and spectral singularities were presented. Hence, besides generalizing the recent results, Naimark’s and Pavlov’s conditions were adopted for the negative weight function case. © Authors own the copyright of their work published in the journal and their work is published under the CC BY-NC 4.0 license
Açıklama
Anahtar Kelimeler
Resolvent operator, Spectral analysis, Spectral singularities, Sturm-Liouville equations
Kaynak
Universal Journal of Mathematics and Applications
WoS Q Değeri
Scopus Q Değeri
Q3
Cilt
6
Sayı
1
