Asymptotic properties of solutions to linear nonautonomous delay differential equations through generalized characteristic equations

We study some properties concerning the asymptotic behavior of solutions to nonautonomous retarded functional differential equations, depending on the knowledge of certain solutions of the associated generalized characteristic equation.

Bibliographic Details
Main Authors: Claudio Cuevas, Miguel V. S. Frasson
Format: Article
Language:English
Published: Texas State University 2010-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/95/abstr.html
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author Claudio Cuevas
Miguel V. S. Frasson
author_facet Claudio Cuevas
Miguel V. S. Frasson
author_sort Claudio Cuevas
collection DOAJ
description We study some properties concerning the asymptotic behavior of solutions to nonautonomous retarded functional differential equations, depending on the knowledge of certain solutions of the associated generalized characteristic equation.
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spelling doaj.art-904acfb14a7246e79a4908dbbea9997c2022-12-21T23:18:36ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912010-07-01201095,15Asymptotic properties of solutions to linear nonautonomous delay differential equations through generalized characteristic equationsClaudio CuevasMiguel V. S. FrassonWe study some properties concerning the asymptotic behavior of solutions to nonautonomous retarded functional differential equations, depending on the knowledge of certain solutions of the associated generalized characteristic equation.http://ejde.math.txstate.edu/Volumes/2010/95/abstr.htmlFunctional differential equationsgeneralizedcharacteristic equationasymptotic behavior
spellingShingle Claudio Cuevas
Miguel V. S. Frasson
Asymptotic properties of solutions to linear nonautonomous delay differential equations through generalized characteristic equations
Electronic Journal of Differential Equations
Functional differential equations
generalized
characteristic equation
asymptotic behavior
title Asymptotic properties of solutions to linear nonautonomous delay differential equations through generalized characteristic equations
title_full Asymptotic properties of solutions to linear nonautonomous delay differential equations through generalized characteristic equations
title_fullStr Asymptotic properties of solutions to linear nonautonomous delay differential equations through generalized characteristic equations
title_full_unstemmed Asymptotic properties of solutions to linear nonautonomous delay differential equations through generalized characteristic equations
title_short Asymptotic properties of solutions to linear nonautonomous delay differential equations through generalized characteristic equations
title_sort asymptotic properties of solutions to linear nonautonomous delay differential equations through generalized characteristic equations
topic Functional differential equations
generalized
characteristic equation
asymptotic behavior
url http://ejde.math.txstate.edu/Volumes/2010/95/abstr.html
work_keys_str_mv AT claudiocuevas asymptoticpropertiesofsolutionstolinearnonautonomousdelaydifferentialequationsthroughgeneralizedcharacteristicequations
AT miguelvsfrasson asymptoticpropertiesofsolutionstolinearnonautonomousdelaydifferentialequationsthroughgeneralizedcharacteristicequations