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 language | English |
---|---|
Title of host publication | Proceedings of minisymposia and contributed talks of EQUADIFF-11: International conference on differential equations Czecho-Slovak series |
Publisher | Comenius University Press |
Pages | 57-66 |
ISBN (Print) | 9788022726245 |
Publication status | Published - 2007 |
Event | International Conference on Differential Equations: Czecho-Slovak series - Bratislava, Slovakia Duration: 25 Jul 2005 → 29 Jul 2005 http://www.iam.fmph.uniba.sk/equadiff/index.html |
Conference
Conference | International Conference on Differential Equations: Czecho-Slovak series |
---|---|
Country/Territory | Slovakia |
City | Bratislava |
Period | 25/07/05 → 29/07/05 |
Internet address |
Keywords
- Non-local operators
- Eigenvalues
- Eigenfunctions
- Oscillation theorem