Spline approximation for systems of linear neutral delay-differential equations

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摘要

We derive a new finite dimensional semidiscrete approximation scheme for systems of linear neutral delay-differential equations and prove convergence results. Our construction extends to neutral delay equations results which were previously only available for retarded delay equations.

论文关键词:Neutral delay differential equations,Semidiscrete approximation

论文评审过程:Received 28 December 2017, Revised 22 June 2018, Accepted 1 July 2018, Available online 25 July 2018, Version of Record 25 July 2018.

论文官网地址:https://doi.org/10.1016/j.amc.2018.07.002