Integral representations of irregular root functions of loaded second-order differential operators

DOI10.1134/S0012266116120041zbMath1362.34125MaRDI QIDQ518153

I. S. Lomov

Publication date: 28 March 2017

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

zbMATH Keywords

adjoint operatormean-value formula

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Representation theory of linear operators (47A67)

Related Items (5)

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

• Loaded differential operators: convergence of spectral expansions
• A resolvent approach in the Fourier method for the wave equation: the non-selfadjoint case
• 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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