Representation of solutions of linear differential systems with pure delay and multiple delays with linear parts given by non-permutable matrices

Ahmed M. Elshenhab and Xing Tao Wang

Applied Mathematics and Computation, 2021, vol. 410, issue C

Abstract: 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.

Keywords: Representation of solutions; Second order; Delayed matrix functions; Multiple delays; Non-permutable matrices; Laplace transform (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:410:y:2021:i:c:s0096300321005324

DOI: 10.1016/j.amc.2021.126443

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