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

被引：0
作者：
F. Seref
O. A. Veliev
机构：
[1] Dogus University,
来源：
Mathematical Notes | 2016年 / 100卷
关键词：
differential operator; matrix potential; asymptotic formulas; Riesz basis;
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摘要：
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.
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页码：291 / 297
页数：6
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