Asymptotic Constancy in Linear Difference Equations: Limit Formulae and Sharp Conditions
It is found that every solution of a system of linear delay difference equations has finite limit at infinity, if some conditions are satisfied. These are much weaker than the known sufficient conditions for asymptotic constancy of the solutions. When we impose some positivity assumptions on the coe...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2010-01-01
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| Series: | Advances in Difference Equations |
| Online Access: | http://dx.doi.org/10.1155/2010/789302 |
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Article |
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doaj-864e9a07f3b548f3b03994ba54bc98662020-11-25T01:00:59ZengSpringerOpenAdvances in Difference Equations1687-18391687-18472010-01-01201010.1155/2010/789302Asymptotic Constancy in Linear Difference Equations: Limit Formulae and Sharp ConditionsLászló HorváthIstván GyőriIt is found that every solution of a system of linear delay difference equations has finite limit at infinity, if some conditions are satisfied. These are much weaker than the known sufficient conditions for asymptotic constancy of the solutions. When we impose some positivity assumptions on the coefficient matrices, our conditions are also necessary. The novelty of our results is illustrated by examples. http://dx.doi.org/10.1155/2010/789302 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
László Horváth István Győri |
| spellingShingle |
László Horváth István Győri Asymptotic Constancy in Linear Difference Equations: Limit Formulae and Sharp Conditions Advances in Difference Equations |
| author_facet |
László Horváth István Győri |
| author_sort |
László Horváth |
| title |
Asymptotic Constancy in Linear Difference Equations: Limit Formulae and Sharp Conditions |
| title_short |
Asymptotic Constancy in Linear Difference Equations: Limit Formulae and Sharp Conditions |
| title_full |
Asymptotic Constancy in Linear Difference Equations: Limit Formulae and Sharp Conditions |
| title_fullStr |
Asymptotic Constancy in Linear Difference Equations: Limit Formulae and Sharp Conditions |
| title_full_unstemmed |
Asymptotic Constancy in Linear Difference Equations: Limit Formulae and Sharp Conditions |
| title_sort |
asymptotic constancy in linear difference equations: limit formulae and sharp conditions |
| publisher |
SpringerOpen |
| series |
Advances in Difference Equations |
| issn |
1687-1839 1687-1847 |
| publishDate |
2010-01-01 |
| description |
It is found that every solution of a system of linear delay difference equations has finite limit at infinity, if some conditions are satisfied. These are much weaker than the known sufficient conditions for asymptotic constancy of the solutions. When we impose some positivity assumptions on the coefficient matrices, our conditions are also necessary. The novelty of our results is illustrated by examples. |
| url |
http://dx.doi.org/10.1155/2010/789302 |
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