Stability Analysis of a Class of Higher Order Difference Equations
We consider the sufficient conditions for asymptotic stability and instability of certain higher order nonlinear difference equations with infinite delays in finite-dimensional spaces. With the aid of the general comparison condition on the right-hand side function fk(·), we generalize the stabilit...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/434621 |
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| _version_ | 1850233245774381056 |
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| author | Yuanyuan Liu Fanwei Meng |
| author_facet | Yuanyuan Liu Fanwei Meng |
| author_sort | Yuanyuan Liu |
| collection | DOAJ |
| description | We consider the sufficient conditions for asymptotic stability and instability of
certain higher order nonlinear difference equations with infinite delays in finite-dimensional spaces.
With the aid of the general comparison condition on the right-hand side function fk(·), we generalize
the stability and instability result. |
| format | Article |
| id | doaj-art-051a4170e1dd4cd99ee34c7fc3de242b |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-051a4170e1dd4cd99ee34c7fc3de242b2025-08-20T02:02:58ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/434621434621Stability Analysis of a Class of Higher Order Difference EquationsYuanyuan Liu0Fanwei Meng1Department of Mathematics, Shanghai Normal University, Shanghai 200234, ChinaDepartment of Mathematics, Qufu Normal University, Qufu 273165, ChinaWe consider the sufficient conditions for asymptotic stability and instability of certain higher order nonlinear difference equations with infinite delays in finite-dimensional spaces. With the aid of the general comparison condition on the right-hand side function fk(·), we generalize the stability and instability result.http://dx.doi.org/10.1155/2014/434621 |
| spellingShingle | Yuanyuan Liu Fanwei Meng Stability Analysis of a Class of Higher Order Difference Equations Abstract and Applied Analysis |
| title | Stability Analysis of a Class of Higher Order Difference Equations |
| title_full | Stability Analysis of a Class of Higher Order Difference Equations |
| title_fullStr | Stability Analysis of a Class of Higher Order Difference Equations |
| title_full_unstemmed | Stability Analysis of a Class of Higher Order Difference Equations |
| title_short | Stability Analysis of a Class of Higher Order Difference Equations |
| title_sort | stability analysis of a class of higher order difference equations |
| url | http://dx.doi.org/10.1155/2014/434621 |
| work_keys_str_mv | AT yuanyuanliu stabilityanalysisofaclassofhigherorderdifferenceequations AT fanweimeng stabilityanalysisofaclassofhigherorderdifferenceequations |