Properties of eigenfunctions of non-local operators

    Research output: Chapter in Book/Report/Conference proceedingChapter

    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.
    Original languageEnglish
    Title of host publicationProceedings of minisymposia and contributed talks of EQUADIFF-11: International conference on differential equations Czecho-Slovak series
    PublisherComenius University Press
    Pages57-66
    ISBN (Print)9788022726245
    Publication statusPublished - 2007
    EventInternational Conference on Differential Equations: Czecho-Slovak series - Bratislava, Slovakia
    Duration: 25 Jul 200529 Jul 2005
    http://www.iam.fmph.uniba.sk/equadiff/index.html

    Conference

    ConferenceInternational Conference on Differential Equations: Czecho-Slovak series
    CountrySlovakia
    CityBratislava
    Period25/07/0529/07/05
    Internet address

    Keywords

    • Non-local operators
    • Eigenvalues
    • Eigenfunctions
    • Oscillation theorem

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