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

Date
2015-12
Authors
Möller, M.
Zinsou, B.
Journal Title
Journal ISSN
Volume Title
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.
Description
Keywords
eigenvalue dependent boundary conditions, higher order differential operator, quasi-derivative, self-adjoint boundary conditions
Citation
Möller, M. and Zinsou, B.