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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| Format: | Others |
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OpenSIUC
2017
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| Online Access: | https://opensiuc.lib.siu.edu/theses/2196 https://opensiuc.lib.siu.edu/cgi/viewcontent.cgi?article=3210&context=theses |
| Summary: | 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. |
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