Eigenvalues of a third order BVP subject to functional BCs
Abstract
We discuss the existence of eigenvalues for a third order boundary value problem subject to functional boundary conditions and higher order derivative dependence in the nonlinearities. We prove the existence of positive and negative eigenvalues and provide a localization of the corresponding eigenfunctions in terms of their norm. The methodology involves a version of the classical Birkhoff-Kellogg theorem. We illustrate the applicability of the theoretical results in an example.
Fields of Study & Subjects
Tribology and Lubrication Engineering
Publication details
- Journal / source
- Topological Methods in Nonlinear Analysis
- Pages
- 1–7
- Publication date
- 22 March 2026
- Language
- EN