Self-adjoint higher order differential operators with eigenvalue parameter dependent boundary conditions.
Springer International Publishing
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.
eigenvalue dependent boundary conditions, higher order differential operator, quasi-derivative, self-adjoint boundary conditions
Möller, M. and Zinsou, B.