Construction of Asymptotic Formulas for Solutions of One Differential Problem with a Singular Coefficient

Author:

Lomov I. S.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Reference7 articles.

1. O. V. Belyantsev, ‘‘The Bessel inequality and the basis property of root functions of a second–order singular differential operator,’’ Differ. Equat. 36, 1019–1030 (2000).

2. I. S. Lomov, Spectral Method of V. A. Ilyin. Non-Self-Adjoint Operators. I. Operator of the Second Order. Basis Property and Uniform Convergence of Spectral Expansions (MAKS Press, Moscow, 2019) [in Russian].

3. V. A. Il’in, Spectral Theory of Differential Operators: Self-Adjoint Differential Operators (Nauka, Moscow, 1991; Springer, New York, 1995).

4. O. V. Belyantsev and I. S. Lomov, ‘‘On the basis property of eigenfunctions of a singular second-order differential operator,’’ Differ. Equat. 48, 1174–1176 (2012).

5. L. A. Zhornitskaya and V. S. Serov, ‘‘A uniqueness theorem for the Sturm–Liouville operator on a segment with a potential that has a nonintegrable singularity,’’ Differ. Equat. 29, 1865–1864 (1993).

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