## Self-adjoint higher order differential operators with eigenvalue parameter dependent boundary conditions.

2015-12
Möller, M.
Zinsou, B.
##### Publisher
Springer International Publishing
##### Abstract
Eigenvalue problems for even order regular quasi-differential equations with boundary conditions which depend linearly on the eigenvalue parameter λ can be represented by an operator polynomial (Formula presented.) where M is a self-adjoint operator. Necessary and sufficient conditions are given such that also K and A are self-adjoint.
##### Keywords
eigenvalue dependent boundary conditions , higher order differential operator , quasi-derivative , self-adjoint boundary conditions
##### Citation
Möller, M. and Zinsou, B.