A boundary value problem with a discontinuous coefficient and containing a spectral parameter in the boundary condition (Q1345788)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: A boundary value problem with a discontinuous coefficient and containing a spectral parameter in the boundary condition |
scientific article; zbMATH DE number 733305
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A boundary value problem with a discontinuous coefficient and containing a spectral parameter in the boundary condition |
scientific article; zbMATH DE number 733305 |
Statements
A boundary value problem with a discontinuous coefficient and containing a spectral parameter in the boundary condition (English)
0 references
25 October 1995
0 references
Summary: A singular non-self-adjoint boundary value problem is considered. This problem has a discontinuous coefficient with a spectral parameter in the boundary condition. Some solutions of the eigenvalue equation are given. The discrete spectrum is studied and the resolvent is obtained. A formulation of the adjoint problem is deduced and hence the continuous spectrum of the considered problem is given. Furthermore, the spectrum of the adjoint problem is investigated.
0 references
singular non-self-adjoint boundary value problem
0 references
spectral parameter in the boundary condition
0 references
eigenvalue equation
0 references
continuous spectrum
0 references
spectrum of the adjoint problem
0 references
