Invariant and attracting sets of non-autonomous impulsive neutral integro-differential equations
This paper is concerned with a non-autonomous impulsive neutral integro-differential equation with time-varying delays. We establish a novel singular delay integro-differential inequality, which enables us to derive several sufficient criteria on the positive invariant set, global attracting set and...
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| Format: | Article |
| Language: | English |
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University of Szeged
2012-08-01
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| Series: | Electronic Journal of Qualitative Theory of Differential Equations |
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| Online Access: | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1574 |
| _version_ | 1797830645281456128 |
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| author | Bing Li |
| author_facet | Bing Li |
| author_sort | Bing Li |
| collection | DOAJ |
| description | This paper is concerned with a non-autonomous impulsive neutral integro-differential equation with time-varying delays. We establish a novel singular delay integro-differential inequality, which enables us to derive several sufficient criteria on the positive invariant set, global attracting set and stability. An example is given to demonstrate the efficiency of proposed results. |
| first_indexed | 2024-04-09T13:40:29Z |
| format | Article |
| id | doaj.art-5c62c1c889fc442087103ebb2f142a61 |
| institution | Directory Open Access Journal |
| issn | 1417-3875 |
| language | English |
| last_indexed | 2024-04-09T13:40:29Z |
| publishDate | 2012-08-01 |
| publisher | University of Szeged |
| record_format | Article |
| series | Electronic Journal of Qualitative Theory of Differential Equations |
| spelling | doaj.art-5c62c1c889fc442087103ebb2f142a612023-05-09T07:53:02ZengUniversity of SzegedElectronic Journal of Qualitative Theory of Differential Equations1417-38752012-08-0120126711810.14232/ejqtde.2012.1.671574Invariant and attracting sets of non-autonomous impulsive neutral integro-differential equationsBing Li0College of Science, Chongqing Jiaotong University, Chongqing, P. R. ChinaThis paper is concerned with a non-autonomous impulsive neutral integro-differential equation with time-varying delays. We establish a novel singular delay integro-differential inequality, which enables us to derive several sufficient criteria on the positive invariant set, global attracting set and stability. An example is given to demonstrate the efficiency of proposed results.http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1574impulsiveneutral integro-differential equationattracting setstability |
| spellingShingle | Bing Li Invariant and attracting sets of non-autonomous impulsive neutral integro-differential equations Electronic Journal of Qualitative Theory of Differential Equations impulsive neutral integro-differential equation attracting set stability |
| title | Invariant and attracting sets of non-autonomous impulsive neutral integro-differential equations |
| title_full | Invariant and attracting sets of non-autonomous impulsive neutral integro-differential equations |
| title_fullStr | Invariant and attracting sets of non-autonomous impulsive neutral integro-differential equations |
| title_full_unstemmed | Invariant and attracting sets of non-autonomous impulsive neutral integro-differential equations |
| title_short | Invariant and attracting sets of non-autonomous impulsive neutral integro-differential equations |
| title_sort | invariant and attracting sets of non autonomous impulsive neutral integro differential equations |
| topic | impulsive neutral integro-differential equation attracting set stability |
| url | http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1¶mtipus_ertek=publication¶m_ertek=1574 |
| work_keys_str_mv | AT bingli invariantandattractingsetsofnonautonomousimpulsiveneutralintegrodifferentialequations |