Instability to vector lienard equation with multiple delays

By making use of a special Lyapunov-Krasovskii functional and applying Krasovskii’s properties, we prove instability of zero solution of a modified vector Lienard equation with multiple constant delays that includes Van der Pol, Rayleigh and Lienard equations, widely encountered in applica...

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Autor principal: Tunc,Cemil
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2015
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000100001
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spelling oai:scielo:S0719-064620150001000012018-10-08Instability to vector lienard equation with multiple delaysTunc,Cemil Lienard Lyapunov-Krasovskii functional instability delay By making use of a special Lyapunov-Krasovskii functional and applying Krasovskii’s properties, we prove instability of zero solution of a modified vector Lienard equation with multiple constant delays that includes Van der Pol, Rayleigh and Lienard equations, widely encountered in applications.info:eu-repo/semantics/openAccessUniversidad de La Frontera. Departamento de Matemática y Estadística.Cubo (Temuco) v.17 n.1 20152015-01-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000100001en10.4067/S0719-06462015000100001
institution Scielo Chile
collection Scielo Chile
language English
topic Lienard
Lyapunov-Krasovskii functional
instability
delay
spellingShingle Lienard
Lyapunov-Krasovskii functional
instability
delay
Tunc,Cemil
Instability to vector lienard equation with multiple delays
description By making use of a special Lyapunov-Krasovskii functional and applying Krasovskii’s properties, we prove instability of zero solution of a modified vector Lienard equation with multiple constant delays that includes Van der Pol, Rayleigh and Lienard equations, widely encountered in applications.
author Tunc,Cemil
author_facet Tunc,Cemil
author_sort Tunc,Cemil
title Instability to vector lienard equation with multiple delays
title_short Instability to vector lienard equation with multiple delays
title_full Instability to vector lienard equation with multiple delays
title_fullStr Instability to vector lienard equation with multiple delays
title_full_unstemmed Instability to vector lienard equation with multiple delays
title_sort instability to vector lienard equation with multiple delays
publisher Universidad de La Frontera. Departamento de Matemática y Estadística.
publishDate 2015
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462015000100001
work_keys_str_mv AT tunccemil instabilitytovectorlienardequationwithmultipledelays
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