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Semiclassical asymptotics of the vector Sturm-Liouville problem

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Abstract

The vector Sturm-Liouville problem for the system with a small parameter at the derivatives is considered. Asymptotics of eigenvalues and eigenfunctions are constructed for the case in which the symbol of the problem has eigenvalues of variable multiplicity.

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Kryvko, A., Kucherenko, V.V. Semiclassical asymptotics of the vector Sturm-Liouville problem. Russ. J. Math. Phys. 13, 188–202 (2006). https://doi.org/10.1134/S1061920806020051

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  • DOI: https://doi.org/10.1134/S1061920806020051

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