Spectral properties of some differential operators of Sturm-Liouville type with homogeneous delay

Dragana NEDİĆ; Elmir CATRNJA

doi:https://doi.org/10.15672/hujms.817504

Makale detayları

Spectral properties of some differential operators of Sturm-Liouville type with homogeneous delay

Yazarlar:

Dragana NEDİĆ | Elmir CATRNJA

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 3, pp.658-665

Belge Tipi:

Makale

Yayın Tarihi:

5/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000450213

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.817504

Özet:

 

In this paper we observe the operator D2=D2(h,H,q,α)D2=D2(h,H,q,α) D^{2}=D^{2}(h,H,q,\alpha), h,H∈¯¯¯¯R=R∪{−∞,∞}h,H∈R¯=R∪{−∞,∞}h, H\in \overline{\mathbb{R}}=\mathbb{R}\cup \{-\infty,\infty\}, q(x)∈L2[0,π]q(x)∈L2[0,π]q(x)\in L_{2}\left[0,\pi \right], α∈(0,1)α∈(0,1)\alpha\in (0,1)  and construct and partially transform its characteristic function. Those transformations enable more complete asymptotic decomposition of the zeroes and eigenvalues of the operator.		The goal of this paper is to contribute to the development of the spectral theory of differential operators with homogeneous delay.

Makale detayları

Spectral properties of some differential operators of Sturm-Liouville type with homogeneous delay

Yazarlar: Dragana NEDİĆ | Elmir CATRNJA

Yayıncı: Hacettepe University

Ana Başlıklar: Matematik

Dergi: Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 3, pp.658-665

Belge Tipi: Makale

Yayın Tarihi: 5/2022

Belge Dili: İngilizce

Document ID (Org No.): 2000450213

Sıklık: İki Aylık

eISSN: 2651-477X

pISSN: 2651-477X

DOI: https://doi.org/10.15672/hujms.817504

Sayı

Yazarlar:

Dragana NEDİĆ | Elmir CATRNJA

Yayıncı:

Hacettepe University

Ana Başlıklar:

Matematik

Dergi:

Hacettepe Journal of Mathematics and Statistics 2022 Vol.51 Issue 3, pp.658-665

Belge Tipi:

Makale

Yayın Tarihi:

5/2022

Belge Dili:

İngilizce

Document ID (Org No.):

2000450213

Sıklık:

İki Aylık

eISSN:

2651-477X

pISSN:

2651-477X

DOI:

https://doi.org/10.15672/hujms.817504