Self-adjoint higher order differential operators with eigenvalue parameter dependent boundary conditions.
Date
2015-12
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
SpringerOpen [Commercial Publisher]
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, Operator polynomial
Citation
Möller, M., Zinsou, B. Self-adjoint higher order differential operators with eigenvalue parameter dependent boundary conditions. Bound Value Probl 2015, 79 (2015). https://doi.org/10.1186/s13661-015-0341-5