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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Main Author: Marian Mureşan
Format: Article
Language:English
Published: Wiley 2001-01-01
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
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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