Open AccessStability of some essential B-spectra of pencil operators and application
Author(s) -
Anouer Ben Ali,
Monia Boudhief,
Nedra Moalla
Publication year - 2021
Publication title -
extracta mathematicae
Language(s) - English
Resource type - Journals
eISSN - 2605-5686
pISSN - 0213-8743
DOI - 10.17398/2605-5686.36.1.63
Subject(s) - pencil (optics) , spectral line , mathematics , banach space , essential spectrum , operator (biology) , mathematical analysis , pure mathematics , spectrum (functional analysis) , physics , chemistry , optics , quantum mechanics , biochemistry , repressor , transcription factor , gene
In this paper, we give some results on the essential B-spectra of a linear operator pencil, which are used to determine the essential B-spectra of an integro-differential operator with abstract boundary conditions in the Banach space Lp([−a, a] × [−1, 1]), p ≥ 1 and a > 0.