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

Fulya Seref; O. A. Veliev

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arXiv · 1306.1473

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

Fulya Seref·O. A. Veliev

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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.

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BibTeX RIS

Fulya Seref, O. A. Veliev. 2013-06-06. On the Non-Self-adjoint Sturm-Liouville Operators in the Space of Vector-Functions. https://arxiv.org/abs/1306.1473

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