A boundary value problem with a discontinuous coefficient and containing a spectral parameter in the boundary condition
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. Formulation of the...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1995-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171295000172 |
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| 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. 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. |
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| ISSN: | 0161-1712 1687-0425 |