Stability and boundedness in differential systems of third order with variable delay

In this paper, we consider a non-linear system of differential equations ofthird order with variable delay. We discuss the globally asymptotic stability/uniformly stability, boundedness and uniformly boundedness ofsolutionsfor the considered system. The technique ofproofs involves defining an approp...

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Autor principal: Tunc,Cemil
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2016
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000300008
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spelling oai:scielo:S0716-091720160003000082016-10-03Stability and boundedness in differential systems of third order with variable delayTunc,Cemil Globally asymptotic stability boundedness Lyapunov functional delay differential system third order In this paper, we consider a non-linear system of differential equations ofthird order with variable delay. We discuss the globally asymptotic stability/uniformly stability, boundedness and uniformly boundedness ofsolutionsfor the considered system. The technique ofproofs involves defining an appropriate Lyapunov functional. The obtained results include and improve the results in literature.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.35 n.3 20162016-09-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000300008en10.4067/S0716-09172016000300008
institution Scielo Chile
collection Scielo Chile
language English
topic Globally asymptotic stability
boundedness
Lyapunov functional
delay
differential system
third order
spellingShingle Globally asymptotic stability
boundedness
Lyapunov functional
delay
differential system
third order
Tunc,Cemil
Stability and boundedness in differential systems of third order with variable delay
description In this paper, we consider a non-linear system of differential equations ofthird order with variable delay. We discuss the globally asymptotic stability/uniformly stability, boundedness and uniformly boundedness ofsolutionsfor the considered system. The technique ofproofs involves defining an appropriate Lyapunov functional. The obtained results include and improve the results in literature.
author Tunc,Cemil
author_facet Tunc,Cemil
author_sort Tunc,Cemil
title Stability and boundedness in differential systems of third order with variable delay
title_short Stability and boundedness in differential systems of third order with variable delay
title_full Stability and boundedness in differential systems of third order with variable delay
title_fullStr Stability and boundedness in differential systems of third order with variable delay
title_full_unstemmed Stability and boundedness in differential systems of third order with variable delay
title_sort stability and boundedness in differential systems of third order with variable delay
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2016
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172016000300008
work_keys_str_mv AT tunccemil stabilityandboundednessindifferentialsystemsofthirdorderwithvariabledelay
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