Sixth-order Birkhoff regular problems
Abstract
Asymptotics of the eigenvalues can always be derived for self-adjoint boundary value problems. However, they can also be derived for boundary value problems that fail to be self-adjoint provided that they are Birkhoff regular. A regular sixth-order differential equation that depends quadratically on the eigenvalue parameter $λ$ is considered with classes of separable boundary conditions independent of $λ$ or depending linearly on $λ$. Conditions are given for the problems to be Birkhoff regular.
Fields of Study & Subjects
Spectral Theory in Mathematical Physics
Differential Equations and Boundary Problems
Nonlinear Differential Equations Analysis
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 6 February 2026
- Language
- EN
- Document type
- Preprint