On a boundary value problem of N. I. Ionkin type

DOI10.1134/S0012266113100042zbMath1298.34164OpenAlexW2008066364MaRDI QIDQ2251765

Nazim B. Kerimov

Publication date: 15 July 2014

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

Full work available at URL: https://doi.org/10.1134/s0012266113100042

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Eigenvalues, estimation of eigenvalues, upper and lower bounds of ordinary differential operators (34L15) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (10)

Basicity properties of eigenfunctions of the periodic problem for differential operator Lu = −u″(−x) + q(x)u(x) ⋮ Unnamed Item ⋮ Computing Dirichlet eigenvalues of the Schrödinger operator with a PT-symmetric optical potential ⋮ On the spectral properties of high-order differential operators with periodic boundary conditions ⋮ Computing periodic and antiperiodic eigenvalues with a PT-symmetric optical potential ⋮ Spectral problems of a class of non-self-adjoint one-dimensional Schrödinger operators ⋮ Spectral analysis of the Schrödinger operator with a PT-symmetric periodic optical potential ⋮ Properties in L p of root functions for a nonlocal problem with involution ⋮ On the estimates of periodic eigenvalues of Sturm-Liouville operators with trigonometric polynomial potentials ⋮ On the spectrality and spectral expansion of the non-self-adjoint Mathieu-Hill operator in \(L_2(-\infty, \infty)\)

Cites Work

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• On the Riesz basis property of the eigen- and associated functions of periodic and antiperiodic Sturm-Liouville problems
• The basis problem of the eigenfunctions of ordinary differential operators with integral boundary conditions
• On the existence of a reduced system of eigenfunctions and generalized eigenfunctions for a nonselfadjoint ordinary differential operator
• On the Riesz basis property of the root functions in certain regular boundary value problems
• How to express basis conditions and conditions for the equiconvergence with trigonometric series of expansions related to nonselfadjoint differential operators
• Convergence of spectral decompositions of Hill operators with trigonometric polynomial potentials

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