| Title: | Stability in linear neutral difference equations with variable delays (English) | 
| Author: | Ardjouni, Abdelouaheb | 
| Author: | Djoudi, Ahcene | 
| Language: | English | 
| Journal: | Mathematica Bohemica | 
| ISSN: | 0862-7959 (print) | 
| ISSN: | 2464-7136 (online) | 
| Volume: | 138 | 
| Issue: | 3 | 
| Year: | 2013 | 
| Pages: | 245-258 | 
| Summary lang: | English | 
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| Category: | math | 
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| Summary: | In this paper we use the fixed point method to prove asymptotic stability results of the zero solution of a generalized linear neutral difference equation with variable delays. An asymptotic stability theorem with a sufficient condition is proved, which improves and generalizes some results due to Y. N. Raffoul (2006), E. Yankson (2009), M. Islam and E. Yankson (2005). (English) | 
| Keyword: | fixed point | 
| Keyword: | stability | 
| Keyword: | neutral difference equation | 
| Keyword: | variable delay | 
| MSC: | 39A30 | 
| MSC: | 39A70 | 
| idZBL: | Zbl 06260032 | 
| idMR: | MR3136496 | 
| DOI: | 10.21136/MB.2013.143436 | 
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| Date available: | 2013-09-14T11:46:15Z | 
| Last updated: | 2020-07-29 | 
| Stable URL: | http://hdl.handle.net/10338.dmlcz/143436 | 
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