Stability criteria for certain third order nonlinear delay differential equations
type: Item
instance of: scholarly article
title: Stability criteria for certain third order nonlinear delay differential equations
zbMATH Open document ID: 1166.34329
DOI: 10.4171/PM/1831
author: Cemil Tunç
published in: Portugaliae Mathematica. Nova Série
publication date: 2009-03-30T00:00:00Z
full work available at URL: http://www.ems-ph.org/journals/show_pdf.php
review text: Summary: We study the asymptotic stability of the trivial solution of third order nonlinear delay differential equation \[ x'''(t) + f(x(t), x^\prime (t))x^{\prime \prime }(t) + g(x(t - r), x^\prime (t - r)) + h(x(t - r)) = 0, \] where \(r > 0\) is a constant delay. In proving our result we make use of Lyapunov's second method by constructing a Lyapunov functional.
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 5535150
zbMATH Keywords: asymptotic stability
zbMATH Keywords: Lyapunov functional
zbMATH Keywords: nonlinear delay differential equation of third order
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5535150