arXiv Open Access 2013

On the Basis Property of the Root Functions of Sturm-Liouville Operators with General Regular Boundary Conditions

Cemile Nur O. A. Veliev

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Abstrak

We obtain the asymptotic formulas for the eigenvalues and eigenfunctions of the Sturm-Liouville operators with general regular boundary conditions. Using these formulas, we find sufficient conditions on the potential q such that the root functions of these operators do not form a Riesz basis.

Topik & Kata Kunci

math.SP

Penulis (2)

Cemile Nur

O. A. Veliev

Format Sitasi

APA MLA BibTeX

Nur, C., Veliev, O.A. (2013). On the Basis Property of the Root Functions of Sturm-Liouville Operators with General Regular Boundary Conditions. https://arxiv.org/abs/1306.1505

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2013
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓