| Autor: |
Kazem Ghanbari |
| Jazyk: |
angličtina |
| Rok vydání: |
2007 |
| Předmět: |
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| Zdroj: |
Electronic Journal of Differential Equations, Vol 2007, Iss 172, Pp 1-8 (2007) |
| Druh dokumentu: |
article |
| ISSN: |
1072-6691 |
| Popis: |
In this paper we present a study on the analogous properties of discrete and continuous Sturm-Liouville problems arising in matrix analysis and differential equations, respectively. Green's functions in both cases have analogous expressions in terms of the spectral data. Most of the results associated to inverse problems in both cases are identical. In particular, in both cases Weyl's m-function determines the Sturm-Liouville operators uniquely. Moreover, the well known Rayleigh-Ritz Theorem in linear algebra can be proved by using the concept of Green's function in discrete case. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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