On the stability and boundedness of certain third order non-autonomous differential equations of retarded type

On the stability and boundedness of certain third order non-autonomous differential equations of retarded type

In this paper, based on the Lyapunov-Krasovskii functional approach, we obtain sufficient conditions which guarantee stability, uniformly stability, boundedness and uniformly boundedness of solutions of certain third order non- autonomous differential equations of retarded type. Our results compleme...

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Autor principal: Tunc,Cemil
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2015
Materias:
Boundedness
stability
non-autonomous
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000200004
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spelling oai:scielo:S0716-091720150002000042015-10-20On the stability and boundedness of certain third order non-autonomous differential equations of retarded typeTunc,Cemil Boundedness stability non-autonomous In this paper, based on the Lyapunov-Krasovskii functional approach, we obtain sufficient conditions which guarantee stability, uniformly stability, boundedness and uniformly boundedness of solutions of certain third order non- autonomous differential equations of retarded type. Our results complement and improve some recent ones.info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.34 n.2 20152015-06-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000200004en10.4067/S0716-09172015000200004
institution Scielo Chile
collection Scielo Chile
language English
topic Boundedness
stability
non-autonomous
spellingShingle Boundedness
stability
non-autonomous
Tunc,Cemil
On the stability and boundedness of certain third order non-autonomous differential equations of retarded type
description In this paper, based on the Lyapunov-Krasovskii functional approach, we obtain sufficient conditions which guarantee stability, uniformly stability, boundedness and uniformly boundedness of solutions of certain third order non- autonomous differential equations of retarded type. Our results complement and improve some recent ones.
author Tunc,Cemil
author_facet Tunc,Cemil
author_sort Tunc,Cemil
title On the stability and boundedness of certain third order non-autonomous differential equations of retarded type
title_short On the stability and boundedness of certain third order non-autonomous differential equations of retarded type
title_full On the stability and boundedness of certain third order non-autonomous differential equations of retarded type
title_fullStr On the stability and boundedness of certain third order non-autonomous differential equations of retarded type
title_full_unstemmed On the stability and boundedness of certain third order non-autonomous differential equations of retarded type
title_sort on the stability and boundedness of certain third order non-autonomous differential equations of retarded type
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2015
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172015000200004
work_keys_str_mv AT tunccemil onthestabilityandboundednessofcertainthirdordernonautonomousdifferentialequationsofretardedtype
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