On Ф0-stability of a class of singular difference equations
This paper investigates a class of singular difference equations. Using the framework of the theory of singular difference equations and cone-valued Lyapunov functions, some necessary and sufficient conditions on the the Ф0-stability of a trivial solution of singular difference equations are obtaine...
| Main Authors: | , , |
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| Format: | Journal Article |
| Published: |
SpringerOpen
2013
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| Subjects: | |
| Online Access: | http://hdl.handle.net/20.500.11937/5150 |
| _version_ | 1848744715491475456 |
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| author | Wang, P. Wu, M. Wu, Yong Hong |
| author_facet | Wang, P. Wu, M. Wu, Yong Hong |
| author_sort | Wang, P. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | This paper investigates a class of singular difference equations. Using the framework of the theory of singular difference equations and cone-valued Lyapunov functions, some necessary and sufficient conditions on the the Ф0-stability of a trivial solution of singular difference equations are obtained. Finally, an example is provided to illustrate our results. |
| first_indexed | 2025-11-14T06:05:52Z |
| format | Journal Article |
| id | curtin-20.500.11937-5150 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T06:05:52Z |
| publishDate | 2013 |
| publisher | SpringerOpen |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-51502017-09-13T14:44:36Z On Ф0-stability of a class of singular difference equations Wang, P. Wu, M. Wu, Yong Hong Ф0-stability uniformly Ф0-stability singular difference equations cone-valued Lyapunov functions This paper investigates a class of singular difference equations. Using the framework of the theory of singular difference equations and cone-valued Lyapunov functions, some necessary and sufficient conditions on the the Ф0-stability of a trivial solution of singular difference equations are obtained. Finally, an example is provided to illustrate our results. 2013 Journal Article http://hdl.handle.net/20.500.11937/5150 10.1186/1687-1847-2013-179 SpringerOpen fulltext |
| spellingShingle | Ф0-stability uniformly Ф0-stability singular difference equations cone-valued Lyapunov functions Wang, P. Wu, M. Wu, Yong Hong On Ф0-stability of a class of singular difference equations |
| title | On Ф0-stability of a class of singular difference equations |
| title_full | On Ф0-stability of a class of singular difference equations |
| title_fullStr | On Ф0-stability of a class of singular difference equations |
| title_full_unstemmed | On Ф0-stability of a class of singular difference equations |
| title_short | On Ф0-stability of a class of singular difference equations |
| title_sort | on ф0-stability of a class of singular difference equations |
| topic | Ф0-stability uniformly Ф0-stability singular difference equations cone-valued Lyapunov functions |
| url | http://hdl.handle.net/20.500.11937/5150 |