Abstract
In this work we investigate the resolvent operator and completeness of eigenfunctions of a Sturm- Liouville problem with discontinuities at two points. The problem contains an eigenparameter in one of the boundary conditions. For operator-theoretic formulation of the considered problem we define an equivalent inner product in the Hilbert space L2[-1, 1] ⊕ C and suitable self-adjoint linear operator in it.
Original language | English |
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Pages (from-to) | 1-8 |
Number of pages | 8 |
Journal | Iranian Journal of Science and Technology, Transaction A: Science |
Volume | 40 |
Issue number | 1 |
DOIs | |
Publication status | Published - Mar 2016 |
Bibliographical note
Publisher Copyright:© Shiraz University 2016.
Keywords
- Eigenfunction
- Eigenvalue
- Resolvent operator
- Sturm-liouville problem
- Transmission conditions