Properties of eigenfunctions of non-local operators
Research output: Chapter in Book/Report/Conference proceeding › Chapter
| Original language | English |
|---|
| Title | Proceedings of minisymposia and contributed talks of EQUADIFF-11: International conference on differential equations Czecho-Slovak series |
|---|
| Publisher | Comenius University Press |
|---|
| Publication date | 2007 |
|---|
| Pages | 57-66 |
|---|
| ISBN (Print) | 9788022726245 |
|---|
| State | Published |
|---|
| Conference | International Conference on Differential Equations: Czecho-Slovak series |
|---|
| Country | Slovakia |
|---|
| City | Bratislava |
|---|
| Period | 25/07/05 → 29/07/05 |
|---|
| Other | |
|---|
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.