Basicity properties of eigenfunctions of the periodic problem for differential operator Lu = −u″(−x) + q(x)u(x)

DOI10.1063/1.5000652zbMath1491.34094OpenAlexW2756393053MaRDI QIDQ5062227

Abdizhahan M. Sarsenbi

Publication date: 15 March 2022

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5000652

zbMATH Keywords

equiconvergenceGreen functionperiodic problembasis property of the system of eigenfunctions

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10)

Cites Work

• A completeness criterion for a double power system with degenerate coefficients
• On a two-point boundary value problem for the Sturm-Liouville operator with a nonclassical asymptotics of the spectrum
• On the basis properties of root functions of two generalized eigenvalue problems
• Spectral properties of non-self-adjoint perturbations for a spectral problem with involution
• On the influence of the potential on the convergence rate of expansions in root functions of the Schrödinger operator
• Unconditional bases related to a nonclassical second-order differential operator
• Nonsmooth eigenfunctions in problems of mathematical physics
• A criterion for the basis property of perturbed exponential systems in Lebesgue spaces with variable exponent
• Spectral properties of a nonlocal problem for a second-order differential equation with an involution
• Eigenfunction expansion for Sturm-Liouville problems with transmission conditions at one interior point
• Defect basis property of a system of root functions of a Sturm-Liouville problem with spectral parameter in the boundary conditions
• Necessary and sufficient conditions for the Riesz basis property of the eigen- and associated functions of high-order differential operators on an interval
• On the theory of antiprior estimates in the sense of V.A. Il'in
• The use of anti-a priori estimates in the theory of bases in the space \(L_2\)
• Variational principles for spectral analysis of one Sturm-Liouville problem with transmission conditions
• Properties of spectral expansions corresponding to non-self-adjoint differential operators.
• Basis properties of eigenfunctions of second-order differential operators with involution
• Criterion for the basis property of the eigenfunction system of a multiple differentiation operator with an involution
• On the basis property of eigenfunctions of a singular second-order differential operator
• Existence results for a linear equation with reflection, non-constant coefficient and periodic boundary conditions
• On a boundary value problem of N. I. Ionkin type
• On an analog of periodic boundary value problems for the Poisson equation in the disk
• Representation of the Green's function of the exterior Neumann problem for the Laplace operator
• On a Frankl-type problem for a mixed parabolic-hyperbolic equation
• On a criterion for the solvability of one ill-posed problem for the biharmonic equation
• Mixed problem for a first-order partial differential equation with involution and periodic boundary conditions
• Inverse problems for a nonlocal wave equation with an involution perturbation
• Constructing a basis from systems of eigenfunctions of one not strengthened regular boundary value problem
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Basicity properties of eigenfunctions of the periodic problem for differential operator Lu = −u″(−x) + q(x)u(x)