Spectral Properties of a Singular Differential Operator on an Interval with Transmission Conditions

Author:

Lomov I. S.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics,Analysis

Reference11 articles.

1. Belyantsev, O.V., The Bessel inequality and the basis property of root functions of a second-order singular differential operator, Differ. Equations, 2000, vol. 36, no. 8, pp. 1119–1130.

2. Lomov, I.S., Spektral’nyi metod V.A. Il’ina. Nesamosopryazhennye operatory. I. Operator vtorogo poryadka. Bazisnost’ i ravnomernaya skhodimost’ spektral’nykh razlozhenii (V.A. Il’in’s Spectral Method. Nonself-Adjoint Operators. I. Operator of the Second Order. Basis Property and Uniform Convergence of Spectral Expansions), Moscow: MAKS Press, 2019.

3. Il’in, V.A., Spektral’naya teoriya differentsial’nykh operatorov (Spectral Theory of Differential Operators), Moscow: Nauka, 1991.

4. Belyantsev, O.V. and Lomov, I.S., On the basis property of eigenfunctions of a singular second-order differential operator, Differ. Equations, 2012, vol. 48, no. 8, pp. 1174–1176.

5. Zhornitskaya, L.A. and Serov, V.S., On one uniqueness theorem for the Sturm–Liouville operator on an interval with a potential having a nonintegrable singularity, Differ. Equations, 1993, vol. 29, no. 12, pp. 1855–1864.

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