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Properties of eigenfunctions of non-local operators

Properties of eigenfunctions of non-local operators

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Original languageEnglish
TitleProceedings of minisymposia and contributed talks of EQUADIFF-11: International conference on differential equations Czecho-Slovak series
PublisherComenius University Press
Publication date2007
Pages57-66
ISBN (Print)9788022726245
StatePublished

Conference

ConferenceInternational Conference on Differential Equations: Czecho-Slovak series
CountrySlovakia
CityBratislava
Period25/07/0529/07/05
Internet addresshttp://www.iam.fmph.uniba.sk/equadiff/index.html

Abstract

In this paper we consider the spectral properties of a class of non-local operators, with particular emphasis on properties of the associated eigenfunctions. The operators studied here are bounded perturbations of linear (local) differential operators. The non-local perturbation is in the form of an integral term. It is shown here that the spectral properties of these non-local operators can differ considerably from those of their local counterpart. The eigenfunctions of these non-local operators are studied and new oscillation results are presented. These results highlight problems with certain similar oscillation results and provide an alternative formulation.

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