Properties of eigenfunctions of non-local operators
Research output: Chapter in Book/Report/Conference proceeding › Chapter
|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|
|State||Published - 2007|
|Event||International Conference on Differential Equations: Czecho-Slovak series - Bratislava, Slovakia|
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.