Transformations of Difference Equations I
We consider a general weighted second-order difference equation. Two transformations are studied which transform the given equation into another weighted second order difference equation of the same type, these are based on the Crum transformation. We also show how Dirichlet and non-Dirichlet bounda...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2010-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2010/947058 |
| _version_ | 1818757871085551616 |
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| author | Sonja Currie Anne D. Love |
| author_facet | Sonja Currie Anne D. Love |
| author_sort | Sonja Currie |
| collection | DOAJ |
| description | We consider a general weighted second-order difference equation. Two transformations are studied which transform the given equation into another weighted second order difference equation of the same type, these are based on the Crum transformation. We also show how Dirichlet and non-Dirichlet boundary conditions transform as well as how the spectra and norming constants are affected. |
| first_indexed | 2024-12-18T06:17:49Z |
| format | Article |
| id | doaj.art-ffbff85c613449f8acb64af2f0c590d8 |
| institution | Directory Open Access Journal |
| issn | 1687-1839 1687-1847 |
| language | English |
| last_indexed | 2024-12-18T06:17:49Z |
| publishDate | 2010-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-ffbff85c613449f8acb64af2f0c590d82022-12-21T21:18:13ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-01201010.1155/2010/947058Transformations of Difference Equations ISonja CurrieAnne D. LoveWe consider a general weighted second-order difference equation. Two transformations are studied which transform the given equation into another weighted second order difference equation of the same type, these are based on the Crum transformation. We also show how Dirichlet and non-Dirichlet boundary conditions transform as well as how the spectra and norming constants are affected.http://dx.doi.org/10.1155/2010/947058 |
| spellingShingle | Sonja Currie Anne D. Love Transformations of Difference Equations I Advances in Difference Equations |
| title | Transformations of Difference Equations I |
| title_full | Transformations of Difference Equations I |
| title_fullStr | Transformations of Difference Equations I |
| title_full_unstemmed | Transformations of Difference Equations I |
| title_short | Transformations of Difference Equations I |
| title_sort | transformations of difference equations i |
| url | http://dx.doi.org/10.1155/2010/947058 |
| work_keys_str_mv | AT sonjacurrie transformationsofdifferenceequationsi AT annedlove transformationsofdifferenceequationsi |