Abstract
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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Seref, F., Veliev, O.A. On sharp asymptotic formulas for the Sturm–Liouville operator with a matrix potential. Math Notes 100, 291–297 (2016). https://doi.org/10.1134/S0001434616070245
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DOI: https://doi.org/10.1134/S0001434616070245