On Asymptotic Behaviour of Solutions to n-Dimensional Systems of Neutral Differential Equations

This paper presents the properties and behaviour of solutions to a class of n-dimensional functional differential systems of neutral type. Sufficient conditions for solutions to be either oscillatory, or limt→∞yi(t) = 0, or limt→∞|yi(t)|=∞, i=1,2,…,n, are established. One example is given....

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Main Authors: H. Šamajová, E. Špániková
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/791323
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author H. Šamajová
E. Špániková
author_facet H. Šamajová
E. Špániková
author_sort H. Šamajová
collection DOAJ
description This paper presents the properties and behaviour of solutions to a class of n-dimensional functional differential systems of neutral type. Sufficient conditions for solutions to be either oscillatory, or limt→∞yi(t) = 0, or limt→∞|yi(t)|=∞, i=1,2,…,n, are established. One example is given.
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spelling doaj-art-53b80f4f3f5e447abf614c0e8e386c0c2025-02-03T01:09:25ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/791323791323On Asymptotic Behaviour of Solutions to n-Dimensional Systems of Neutral Differential EquationsH. Šamajová0E. Špániková1Department of Applied Mathematics, Faculty of Mechanical Engineering, University of Žilina, Univerzitná 1, 010 26 Žilina, SlovakiaDepartment of Applied Mathematics, Faculty of Mechanical Engineering, University of Žilina, Univerzitná 1, 010 26 Žilina, SlovakiaThis paper presents the properties and behaviour of solutions to a class of n-dimensional functional differential systems of neutral type. Sufficient conditions for solutions to be either oscillatory, or limt→∞yi(t) = 0, or limt→∞|yi(t)|=∞, i=1,2,…,n, are established. One example is given.http://dx.doi.org/10.1155/2011/791323
spellingShingle H. Šamajová
E. Špániková
On Asymptotic Behaviour of Solutions to n-Dimensional Systems of Neutral Differential Equations
Abstract and Applied Analysis
title On Asymptotic Behaviour of Solutions to n-Dimensional Systems of Neutral Differential Equations
title_full On Asymptotic Behaviour of Solutions to n-Dimensional Systems of Neutral Differential Equations
title_fullStr On Asymptotic Behaviour of Solutions to n-Dimensional Systems of Neutral Differential Equations
title_full_unstemmed On Asymptotic Behaviour of Solutions to n-Dimensional Systems of Neutral Differential Equations
title_short On Asymptotic Behaviour of Solutions to n-Dimensional Systems of Neutral Differential Equations
title_sort on asymptotic behaviour of solutions to n dimensional systems of neutral differential equations
url http://dx.doi.org/10.1155/2011/791323
work_keys_str_mv AT hsamajova onasymptoticbehaviourofsolutionstondimensionalsystemsofneutraldifferentialequations
AT espanikova onasymptoticbehaviourofsolutionstondimensionalsystemsofneutraldifferentialequations