The Bessel inequality and the basis property of root functions of a second-order singular differential operator

DOI10.1007/BF02754179zbMath0988.47030OpenAlexW2012725168MaRDI QIDQ5942087

O. V. Belyantsev

Publication date: 10 July 2002

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02754179

zbMATH Keywords

Bessel inequalityroot functionssecond order linear operator with singular coefficientssecond order ordinary linear differential operator

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Applications of operator theory to differential and integral equations (47N20)

Related Items (6)

Bessel property of the system of root functions of a second-order singular operator on an interval ⋮ On the basis property of eigenfunctions of a singular second-order differential operator ⋮ Spectral properties of a singular differential operator on an interval with transmission conditions ⋮ Construction of asymptotic formulas for solutions of one differential problem with a singular coefficient ⋮ The Il’in Spectral Method for Determination of the Properties of the Basis Property and the Uniform Convergence of Biorthogonal Expansions on a Finite Interval ⋮ Unconditional basis property of the system of root functions of a differential operator with integral boundary conditions

Cites Work

• Integral representations of discontinuous solutions of a singular second-order differential operator on a finite interval
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