arXiv Open Access 2013

On the Non-Self-adjoint Sturm-Liouville Operators in the Space of Vector-Functions

Fulya Seref O. A. Veliev

Lihat Sumber

Abstrak

In this article we obtain asymptotic formulas for the eigenvalues and eigenfunctions of the non-self-adjoint operator generated in space of vector-functions by the Sturm-Liouville equation with m by m matrix potential and the boundary conditions whose scalar case (m=1) are strongly regular. Using these asymptotic formulas, we find a condition on the potential for which the root functions of this operator form a Riesz basis.

Topik & Kata Kunci

math.SP

Penulis (2)

Fulya Seref

O. A. Veliev

Format Sitasi

APA MLA BibTeX

Seref, F., Veliev, O.A. (2013). On the Non-Self-adjoint Sturm-Liouville Operators in the Space of Vector-Functions. https://arxiv.org/abs/1306.1473

Akses Cepat

Lihat di Sumber

Informasi Jurnal

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