On the Non-Self-adjoint Sturm-Liouville Operators in the Space of Vector-Functions
Spectral Theory
2013-06-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1306.1473,
title = {On the Non-Self-adjoint Sturm-Liouville Operators in the Space of Vector-Functions},
author = {Fulya Seref and O. A. Veliev},
journal= {arXiv preprint arXiv:1306.1473},
year = {2013}
}