On sharp asymptotic formulas for the Sturm–Liouville operator with a matrix potential


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In this article we obtain the sharp asymptotic formulas for the eigenvalues and eigenfunctions of the non-self-adjoint operators generated by a system of the Sturm–Liouville equations with Dirichlet and Neumann boundary conditions. Using these asymptotic formulas, we find a condition on the potential for which the root functions of these operators form a Riesz basis.

作者简介

F. Seref

Dogus University

编辑信件的主要联系方式.
Email: serefulya@gmail.com
土耳其, Istanbul

O. Veliev

Dogus University

Email: serefulya@gmail.com
土耳其, Istanbul

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