On two-point boundary-value problems for the Sturm--Liouville and Dirac operators
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 5, Tome 194 (2021), pp. 144-154

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The problems of completeness and basic property of systems of eigenfunctions and root functions are important questions of the spectral theory of non-self-adjoint differential operators with discrete spectra. In this paper, we give a brief survey of results on this topic for the Sturm–Liouville and Dirac operators with arbitrary two-point boundary conditions and arbitrary complex-valued summable potentials.
Keywords: Sturm–Liouville operator, Dirac operator, boundary-value problem, completeness, basis property.
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     title = {On two-point boundary-value problems for the {Sturm--Liouville} and {Dirac} operators},
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A. S. Makin. On two-point boundary-value problems for the Sturm--Liouville and Dirac operators. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh spring mathematical school “Modern methods of the theory of boundary-value problems. Pontryagin readings – XXX”. Voronezh, May 3-9, 2019. Part 5, Tome 194 (2021), pp. 144-154. http://geodesic.mathdoc.fr/item/INTO_2021_194_a12/