Sufficient conditions for the exponential stability of delay difference equations with linear parts defined by permutable matrices
This paper deals with the stability problem of nonlinear delay difference equations with linear parts defined by permutable matrices. Several criteria for exponential stability of systems with different types of nonlinearities are proved. Finally, a stability result for a model of population dynamic...
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| Format: | Article |
| Language: | English |
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University of Szeged
2012-03-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
| Subjects: | |
| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1332 |
| _version_ | 1797830684412215296 |
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| author | Milan Medved L. Skripkova |
| author_facet | Milan Medved L. Skripkova |
| author_sort | Milan Medved |
| collection | DOAJ |
| description | This paper deals with the stability problem of nonlinear delay difference equations with linear parts defined by permutable matrices. Several criteria for exponential stability of systems with different types of nonlinearities are proved. Finally, a stability result for a model of population dynamics is proved by applying one of them. |
| first_indexed | 2024-04-09T13:40:02Z |
| format | Article |
| id | doaj.art-f6912ee58e61446a98e620f66c4e4ba7 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:02Z |
| publishDate | 2012-03-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-f6912ee58e61446a98e620f66c4e4ba72023-05-09T07:53:02ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752012-03-0120122211310.14232/ejqtde.2012.1.221332Sufficient conditions for the exponential stability of delay difference equations with linear parts defined by permutable matricesMilan Medved0L. Skripkova1Comenius University, Bratislava, SlovakiaComenius University, Bratislava, SlovakiaThis paper deals with the stability problem of nonlinear delay difference equations with linear parts defined by permutable matrices. Several criteria for exponential stability of systems with different types of nonlinearities are proved. Finally, a stability result for a model of population dynamics is proved by applying one of them.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1332nonlinear delay difference equationexponential stability |
| spellingShingle | Milan Medved L. Skripkova Sufficient conditions for the exponential stability of delay difference equations with linear parts defined by permutable matrices Electronic Journal of Qualitative Theory of Differential Equations nonlinear delay difference equation exponential stability |
| title | Sufficient conditions for the exponential stability of delay difference equations with linear parts defined by permutable matrices |
| title_full | Sufficient conditions for the exponential stability of delay difference equations with linear parts defined by permutable matrices |
| title_fullStr | Sufficient conditions for the exponential stability of delay difference equations with linear parts defined by permutable matrices |
| title_full_unstemmed | Sufficient conditions for the exponential stability of delay difference equations with linear parts defined by permutable matrices |
| title_short | Sufficient conditions for the exponential stability of delay difference equations with linear parts defined by permutable matrices |
| title_sort | sufficient conditions for the exponential stability of delay difference equations with linear parts defined by permutable matrices |
| topic | nonlinear delay difference equation exponential stability |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1332 |
| work_keys_str_mv | AT milanmedved sufficientconditionsfortheexponentialstabilityofdelaydifferenceequationswithlinearpartsdefinedbypermutablematrices AT lskripkova sufficientconditionsfortheexponentialstabilityofdelaydifferenceequationswithlinearpartsdefinedbypermutablematrices |