Loaded differential operators: convergence of spectral expansions

DOI10.1134/S0012266114080060zbMath1307.34128OpenAlexW2051626467MaRDI QIDQ471412

I. S. Lomov

Publication date: 14 November 2014

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

Full work available at URL: https://doi.org/10.1134/s0012266114080060

Mathematics Subject Classification ID

General theory of ordinary differential operators (47E05) Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Harmonic analysis in one variable (42A99)

Related Items (14)

Necessary and sufficient conditions for the spectra of the Sturm-Liouville operators with frozen argument ⋮ An exact solution method for a class of nonlinear loaded difference equations with multipoint boundary conditions ⋮ Inverse spectral problems for Hill-type operators with frozen argument ⋮ Traces and inverse nodal problem for Sturm-Liouville operators with frozen argument ⋮ Uniform stability of recovering Sturm-Liouville-type operators with frozen argument ⋮ Sturm–Liouville‐type operators with frozen argument and Chebyshev polynomials ⋮ Finite-difference approximation of the inverse Sturm-Liouville problem with frozen argument ⋮ Integral representations of irregular root functions of loaded second-order differential operators ⋮ Study of spectral properties of a loaded second-order differential operator ⋮ On the inverse problem for Sturm-Liouville-type operators with frozen argument: rational case ⋮ On the solution of boundary value problems for loaded ordinary differential equations ⋮ Dynamical processes in the space of \(\varphi\)-distributions ⋮ Inverse problem for a differential operator on a star-shaped graph with nonlocal matching condition ⋮ Equiconvergence property for spectral expansions related to perturbations of the operator - u(-x) with initial data

Cites Work

• Estimates of the local convergence rate of spectral expansions for even-order differential operators
• Dependence of estimates of the local convergence rate of spectral expansions on the distance from an interior compact set to the boundary
• Integral representations of a partial sum of a biorthogonal series for higher-order differential operators
• Convergence of biorthogonal expansions of functions on an interval for higher-order differential operators
• A generalized Bessel inequality for ordinary differential operators with nonsmooth coefficients and a generalization of the Riesz theorem
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