Behavior of the solutions to second order linear autonomous delay differential equations

A wide class of second order linear autonomous delay differential equations with distributed type delays is considered. An asymptotic result, a useful exponential estimate of the solutions, a stability criterion, and a result on the behavior of the solutions are established.

Bibliographic Details
Main Authors:	Ioannis K. Purnaras, Christos G. Philos
Format:	Article
Language:	English
Published:	Texas State University 2007-07-01
Series:	Electronic Journal of Differential Equations
Subjects:	Delay differential equation asymptotic behavior stability behavior of solutions characteristic equation
Online Access:	http://ejde.math.txstate.edu/Volumes/2007/106/abstr.html

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spelling	doaj-c7a0fdafd198498b94df7a13f449d2272020-11-24T20:47:19ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912007-07-012007106135Behavior of the solutions to second order linear autonomous delay differential equationsIoannis K. PurnarasChristos G. PhilosA wide class of second order linear autonomous delay differential equations with distributed type delays is considered. An asymptotic result, a useful exponential estimate of the solutions, a stability criterion, and a result on the behavior of the solutions are established.http://ejde.math.txstate.edu/Volumes/2007/106/abstr.htmlDelay differential equationasymptotic behaviorstabilitybehavior of solutionscharacteristic equation
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Ioannis K. Purnaras Christos G. Philos
spellingShingle	Ioannis K. Purnaras Christos G. Philos Behavior of the solutions to second order linear autonomous delay differential equations Electronic Journal of Differential Equations Delay differential equation asymptotic behavior stability behavior of solutions characteristic equation
author_facet	Ioannis K. Purnaras Christos G. Philos
author_sort	Ioannis K. Purnaras
title	Behavior of the solutions to second order linear autonomous delay differential equations
title_short	Behavior of the solutions to second order linear autonomous delay differential equations
title_full	Behavior of the solutions to second order linear autonomous delay differential equations
title_fullStr	Behavior of the solutions to second order linear autonomous delay differential equations
title_full_unstemmed	Behavior of the solutions to second order linear autonomous delay differential equations
title_sort	behavior of the solutions to second order linear autonomous delay differential equations
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2007-07-01
description	A wide class of second order linear autonomous delay differential equations with distributed type delays is considered. An asymptotic result, a useful exponential estimate of the solutions, a stability criterion, and a result on the behavior of the solutions are established.
topic	Delay differential equation asymptotic behavior stability behavior of solutions characteristic equation
url	http://ejde.math.txstate.edu/Volumes/2007/106/abstr.html
work_keys_str_mv	AT ioanniskpurnaras behaviorofthesolutionstosecondorderlinearautonomousdelaydifferentialequations AT christosgphilos behaviorofthesolutionstosecondorderlinearautonomousdelaydifferentialequations
_version_	1716810412386680832

Behavior of the solutions to second order linear autonomous delay differential equations

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