Stability of Impulsive Differential Systems

The asymptotic phase property and reduction principle for stability of a trivial solution is generalized to the case of the noninvertible impulsive differential equations in Banach spaces whose linear parts split into two parts and satisfy the condition of separation.

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Bibliographic Details
Main Authors: Andrejs Reinfelds, Lelde Sermone
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/253647
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author Andrejs Reinfelds
Lelde Sermone
author_facet Andrejs Reinfelds
Lelde Sermone
author_sort Andrejs Reinfelds
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description The asymptotic phase property and reduction principle for stability of a trivial solution is generalized to the case of the noninvertible impulsive differential equations in Banach spaces whose linear parts split into two parts and satisfy the condition of separation.
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institution Kabale University
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publishDate 2013-01-01
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series Abstract and Applied Analysis
spelling doaj-art-9e114a610daf4aa295aee3535ea7e9902025-02-03T06:44:48ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/253647253647Stability of Impulsive Differential SystemsAndrejs Reinfelds0Lelde Sermone1Institute of Mathematics and Computer Science, University of Latvia, Raiņa bulvāris 29, Riga, LV-1459, LatviaFaculty of Physics and Mathematics, University of Latvia, Zeļļu iela 8, Riga, LV-1002, LatviaThe asymptotic phase property and reduction principle for stability of a trivial solution is generalized to the case of the noninvertible impulsive differential equations in Banach spaces whose linear parts split into two parts and satisfy the condition of separation.http://dx.doi.org/10.1155/2013/253647
spellingShingle Andrejs Reinfelds
Lelde Sermone
Stability of Impulsive Differential Systems
Abstract and Applied Analysis
title Stability of Impulsive Differential Systems
title_full Stability of Impulsive Differential Systems
title_fullStr Stability of Impulsive Differential Systems
title_full_unstemmed Stability of Impulsive Differential Systems
title_short Stability of Impulsive Differential Systems
title_sort stability of impulsive differential systems
url http://dx.doi.org/10.1155/2013/253647
work_keys_str_mv AT andrejsreinfelds stabilityofimpulsivedifferentialsystems
AT leldesermone stabilityofimpulsivedifferentialsystems