Stability and Uniform Boundedness in Multidelay Functional Differential Equations of Third Order

We consider a nonautonomous functional differential equation of the third order with multiple deviating arguments. Using the Lyapunov-Krasovskiì functional approach, we give certain sufficient conditions to guarantee the asymptotic stability and uniform boundedness of the solutions.

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Main Authors: Cemil Tunç, Melek Gözen
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/248717
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author Cemil Tunç
Melek Gözen
author_facet Cemil Tunç
Melek Gözen
author_sort Cemil Tunç
collection DOAJ
description We consider a nonautonomous functional differential equation of the third order with multiple deviating arguments. Using the Lyapunov-Krasovskiì functional approach, we give certain sufficient conditions to guarantee the asymptotic stability and uniform boundedness of the solutions.
format Article
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institution OA Journals
issn 1085-3375
1687-0409
language English
publishDate 2013-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-0f986b51ba504d82953e2350ea40ba002025-08-20T02:01:40ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/248717248717Stability and Uniform Boundedness in Multidelay Functional Differential Equations of Third OrderCemil Tunç0Melek Gözen1Department of Mathematics, Faculty of Sciences, Yüzüncü Yıl University, 65080 Van, TurkeyDepartment of Mathematics, Faculty of Sciences, Yüzüncü Yıl University, 65080 Van, TurkeyWe consider a nonautonomous functional differential equation of the third order with multiple deviating arguments. Using the Lyapunov-Krasovskiì functional approach, we give certain sufficient conditions to guarantee the asymptotic stability and uniform boundedness of the solutions.http://dx.doi.org/10.1155/2013/248717
spellingShingle Cemil Tunç
Melek Gözen
Stability and Uniform Boundedness in Multidelay Functional Differential Equations of Third Order
Abstract and Applied Analysis
title Stability and Uniform Boundedness in Multidelay Functional Differential Equations of Third Order
title_full Stability and Uniform Boundedness in Multidelay Functional Differential Equations of Third Order
title_fullStr Stability and Uniform Boundedness in Multidelay Functional Differential Equations of Third Order
title_full_unstemmed Stability and Uniform Boundedness in Multidelay Functional Differential Equations of Third Order
title_short Stability and Uniform Boundedness in Multidelay Functional Differential Equations of Third Order
title_sort stability and uniform boundedness in multidelay functional differential equations of third order
url http://dx.doi.org/10.1155/2013/248717
work_keys_str_mv AT cemiltunc stabilityanduniformboundednessinmultidelayfunctionaldifferentialequationsofthirdorder
AT melekgozen stabilityanduniformboundednessinmultidelayfunctionaldifferentialequationsofthirdorder