On eigenfunction expansions for a class of irregular quadratic pencils of second-order differential operators
type: Item
instance of: scholarly article
title: On eigenfunction expansions for a class of irregular quadratic pencils of second-order differential operators
zbMATH Open document ID: 1471.34159
DOI: 10.1134/S1995080221050152
author: Yanyan Li
published in: Lobachevskii Journal of Mathematics
publication date: 2021-06-11T00:00:00Z
review text: In the twice summable functions space a quadratic pencil of second-order differential operators with constant coefficients and separated boundary conditions, containing the spectral parameter, is considered. The conditions for the coefficients of the pencil and the vector-function \(f\), for which there is a two-fold expansion of \(f\) into biorthogonal Fourier series in terms of pencil eigenfunctions are found.
Mathematics Subject Classification ID: 34L10
Mathematics Subject Classification ID: 34L15
zbMATH DE Number: 7357849
zbMATH Keywords: quadratic pencil
zbMATH Keywords: differential operator
zbMATH Keywords: second order
zbMATH Keywords: irregular pencil
zbMATH Keywords: eigenvalues
zbMATH Keywords: eigenfunction expansion
zbMATH Keywords: two-fold expansion
MaRDI profile type: Publication
cites work: Q5587847
cites work: First and second order differentiation operators with weight functions of variable sign
cites work: Q4979372
cites work: Boundary problems for ordinary differential equations with parameter in the boundary conditions
cites work: On completeness of eigenfunctions of quadratic bundles of ordinary differential operators
full work available at URL: s1995080221050152
OpenAlex ID: W3166761068
description: scientific article; zbMATH DE number 7357849