Estimates of root functions of the adjoint of a second-order differential operator with integral boundary conditions

DOI10.1134/S001226611805004XzbMath1398.34127OpenAlexW2805889508WikidataQ129690731 ScholiaQ129690731MaRDI QIDQ1660873

I. S. Lomov

Publication date: 16 August 2018

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

Full work available at URL: https://doi.org/10.1134/s001226611805004x

zbMATH Keywords

root functionssecond-order differential operatorIl'in's spectral method

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (4)

Boundary Value Problem with Integral Condition for the Mixed Type Equation 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 ⋮ Uniform convergence of expansions in root functions of a differential operator with integral boundary conditions ⋮ Unconditional basis property of the system of root functions of a differential operator with integral boundary conditions

Cites Work

• Integral representations of irregular root functions of loaded second-order differential operators
• The basis problem of the eigenfunctions of ordinary differential operators with integral boundary conditions
• The development of general differential and general differential-boundary systems
• Uniform convergence of biorthogonal series for the Schrödinger operator with multipoint boundary conditions
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