On the nonself-adjoint ordinary differential operators with periodic boundary conditions
type: Item
instance of: scholarly article
title: On the nonself-adjoint ordinary differential operators with periodic boundary conditions
zbMATH Open document ID: 1204.34117
published in: Israel Journal of Mathematics
publication date: 2010-06-29T00:00:00Z
review text: Asymptotic formulae are proved for the eigenvalues and eigenfunctions of the operators generated in \(L_{2} [0,1]\) by a differential expression of the form \[ l_{m} (y) = y^{(m)} + p_{2} (x) y^{(m - 2)} + p_{3} (x) y^{(m - 3)} + \cdots+ p_{m} (x) y \] with periodic \(y^{(k)} (1) = y^{(k)}(0)\) \((k = 0,1,\dots,m - 1)\) and also with anti-periodic boundary conditions. The problem of the completeness of the corresponding root functions is also considered.
reviewed by: Petru A. Cojuhari
Mathematics Subject Classification ID: 34L20
Mathematics Subject Classification ID: 34L10
zbMATH DE Number: 5728346
author: O. A. Veliev
MaRDI profile type: Publication
full work available at URL: s11856-010-0025-x
OpenAlex ID: W2014115658
cites work: On the Riesz basisness of the root functions of the nonself-adjoint Sturm-Liouville operator
cites work: On the Riesz basis property of the root functions in certain regular boundary value problems
cites work: Convergence of expansions in the root functions of periodic boundary value problems
cites work: Q5624013
cites work: ON THE BASIS PROBLEM OF THE EIGENFUNCTIONS OF AN ORDINARY DIFFERENTIAL OPERATOR
cites work: Q3346584
DOI: 10.1007/S11856-010-0025-X
description: scientific article; zbMATH DE number 5728346