Global attractivity without stability for Liénard type systems
We are concerned with some conditions such as the trivial solution of a planar system of differential equations (including the Liénard system) that is globally attractive but not stable. We emphasize the connection with some nonoscillatory conditions. The results are related to the previous ones obt...
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Format: | Article |
Language: | English |
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Wiley
2001-01-01
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Series: | International Journal of Mathematics and Mathematical Sciences |
Online Access: | http://dx.doi.org/10.1155/S0161171201010262 |
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author | Marian Mureşan |
author_facet | Marian Mureşan |
author_sort | Marian Mureşan |
collection | DOAJ |
description | We are concerned with some conditions such as the trivial solution of a planar system of differential equations (including the Liénard system) that is globally attractive but not
stable. We emphasize the connection with some nonoscillatory conditions. The results are related to the previous ones obtained by Hara in 1993. |
format | Article |
id | doaj-art-d1242c1a3396448f8546d2e064526c87 |
institution | Kabale University |
issn | 0161-1712 1687-0425 |
language | English |
publishDate | 2001-01-01 |
publisher | Wiley |
record_format | Article |
series | International Journal of Mathematics and Mathematical Sciences |
spelling | doaj-art-d1242c1a3396448f8546d2e064526c872025-02-03T01:28:37ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252001-01-01272919810.1155/S0161171201010262Global attractivity without stability for Liénard type systemsMarian Mureşan0Faculty of Mathematics and Computer Science, Babeş-Bolyai University, M. Kogalniceanu 1, Cluj-Napoca 3400, RomaniaWe are concerned with some conditions such as the trivial solution of a planar system of differential equations (including the Liénard system) that is globally attractive but not stable. We emphasize the connection with some nonoscillatory conditions. The results are related to the previous ones obtained by Hara in 1993.http://dx.doi.org/10.1155/S0161171201010262 |
spellingShingle | Marian Mureşan Global attractivity without stability for Liénard type systems International Journal of Mathematics and Mathematical Sciences |
title | Global attractivity without stability for Liénard type systems |
title_full | Global attractivity without stability for Liénard type systems |
title_fullStr | Global attractivity without stability for Liénard type systems |
title_full_unstemmed | Global attractivity without stability for Liénard type systems |
title_short | Global attractivity without stability for Liénard type systems |
title_sort | global attractivity without stability for lienard type systems |
url | http://dx.doi.org/10.1155/S0161171201010262 |
work_keys_str_mv | AT marianmuresan globalattractivitywithoutstabilityforlienardtypesystems |