Eigenvalues of a third order BVP subject to functional BCs
DOI:
https://doi.org/10.12775/TMNA.2025.041Słowa kluczowe
Eigenvalue, eigenfunction, functional boundary condition, Birkhoff-Kellogg theoremAbstrakt
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.Bibliografia
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