Representation of solutions of linear differential systems with pure delay and multiple delays with linear parts given by non-permutable matrices
作者：
Highlights：
• Nonhomogeneous linear systems of second order differential equations with pure delay and multiple delays are considered.
• Representations of their solutions without a commutativity assumption on the matrix coefficients are obtained by using delayed matrix functions and Laplace transform.
• Our results improve and extend previous results.
摘要
•Nonhomogeneous linear systems of second order differential equations with pure delay and multiple delays are considered.•Representations of their solutions without a commutativity assumption on the matrix coefficients are obtained by using delayed matrix functions and Laplace transform.•Our results improve and extend previous results.
论文关键词：Representation of solutions,Second order,Delayed matrix functions,Multiple delays,Non-permutable matrices,Laplace transform
论文评审过程：Received 15 December 2020, Revised 24 March 2021, Accepted 6 June 2021, Available online 18 June 2021, Version of Record 18 June 2021.
论文官网地址：https://doi.org/10.1016/j.amc.2021.126443
