Approximation Of Continuously Distributed Delay Differential Equations

Approximation Of Continuously Distributed Delay Differential Equations

We establish a theorem on the approximation of the solutions of delay differential equations with continuously distributed delay with solutions of delay differential equations with discrete delays. We present numerical simulations of the trajectories of discrete delay differential equations and the...

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Bibliographic Details
Main Author: Gallage, Roshini Samanthi
Format: Others
Published: OpenSIUC 2017
Subjects:
continuous delays
DDE
Delay Differential Equation
discrete delays
predator-prey systems
Trajectories of DDE
Online Access:https://opensiuc.lib.siu.edu/theses/2196
https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=3210&context=theses
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spelling ndltd-siu.edu-oai-opensiuc.lib.siu.edu-theses-32102018-12-20T04:42:28Z Approximation Of Continuously Distributed Delay Differential Equations Gallage, Roshini Samanthi We establish a theorem on the approximation of the solutions of delay differential equations with continuously distributed delay with solutions of delay differential equations with discrete delays. We present numerical simulations of the trajectories of discrete delay differential equations and the dependence of their behavior for various delay amounts. We further simulate continuously distributed delays by considering discrete approximation of the continuous distribution. 2017-08-01T07:00:00Z text application/pdf https://opensiuc.lib.siu.edu/theses/2196 https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=3210&context=theses Theses OpenSIUC continuous delays DDE Delay Differential Equation discrete delays predator-prey systems Trajectories of DDE
collection NDLTD
format Others
sources NDLTD
topic continuous delays
DDE
Delay Differential Equation
discrete delays
predator-prey systems
Trajectories of DDE
spellingShingle continuous delays
DDE
Delay Differential Equation
discrete delays
predator-prey systems
Trajectories of DDE
Gallage, Roshini Samanthi
Approximation Of Continuously Distributed Delay Differential Equations
description We establish a theorem on the approximation of the solutions of delay differential equations with continuously distributed delay with solutions of delay differential equations with discrete delays. We present numerical simulations of the trajectories of discrete delay differential equations and the dependence of their behavior for various delay amounts. We further simulate continuously distributed delays by considering discrete approximation of the continuous distribution.
author Gallage, Roshini Samanthi
author_facet Gallage, Roshini Samanthi
author_sort Gallage, Roshini Samanthi
title Approximation Of Continuously Distributed Delay Differential Equations
title_short Approximation Of Continuously Distributed Delay Differential Equations
title_full Approximation Of Continuously Distributed Delay Differential Equations
title_fullStr Approximation Of Continuously Distributed Delay Differential Equations
title_full_unstemmed Approximation Of Continuously Distributed Delay Differential Equations
title_sort approximation of continuously distributed delay differential equations
publisher OpenSIUC
publishDate 2017
url https://opensiuc.lib.siu.edu/theses/2196
https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=3210&context=theses
work_keys_str_mv AT gallageroshinisamanthi approximationofcontinuouslydistributeddelaydifferentialequations
_version_ 1718803473266376704

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