On a nonlocal perturbation of a periodic eigenvalue problem

DOI10.1134/S0012266106040185zbMath1132.34332MaRDI QIDQ2461912

Alexander S. Makin

Publication date: 21 November 2007

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

zbMATH Keywords

Riesz basiseigenvalue problemeigenfunctionsnonlocal boundary conditionsassociated functions

Mathematics Subject Classification ID

Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators (34L10) Linear boundary value problems for ordinary differential equations (34B05)

Related Items (8)

On stability of basis property of root vectors system of the Sturm-Liouville operator with an integral perturbation of conditions in nonstrongly regular Samarskii-Ionkin type problems ⋮ About characteristic determinant of one boundary value problem not having the basis property ⋮ A regular differential operator with perturbed boundary condition ⋮ On basic properties of eigenfunctions and associated functions of one loaded operator of multiple differentiation ⋮ About characteristic determinant of one boundary value problem not having the basis property ⋮ Nonlocal perturbation of a periodic problem for a second-order differential operator ⋮ On the basis property of root functions of a periodic problem with an integral perturbation of the boundary condition ⋮ On a Problem that Does not Have Basis Property of Root Vectors, Associated with a Perturbed Regular Operator of Multiple Differentiation

Cites Work

• The development of general differential and general differential-boundary systems
• Spectral theory of two-point differential operators determined by \(-D^ 2\). II: Analysis of cases

This page was built for publication: On a nonlocal perturbation of a periodic eigenvalue problem