arXiv Open Access 2009

On the Basis Property of the Root Functions of Differential Operators with Matrix Coefficients

O. A. Veliev

Lihat Sumber

Abstrak

We obtain asymptotic formulas for eigenvalues and eigenfunctions of the operator generated by a system of ordinary differential equations with summable coefficients and periodic or antiperiodic boundary conditions. Then using these asymptotic formulas, we find necessary and sufficient conditions on the coefficients for which the system of eigenfunctions and associated functions of the operator under consideration forms a Riesz basis.

Topik & Kata Kunci

math.SP

Penulis (1)

O. A. Veliev

Format Sitasi

APA MLA BibTeX

Veliev, O.A. (2009). On the Basis Property of the Root Functions of Differential Operators with Matrix Coefficients. https://arxiv.org/abs/0912.4340

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2009
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓