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

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  • Elshenhab, Ahmed M.
  • Wang, Xing Tao

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.

Suggested Citation

  • Elshenhab, Ahmed M. & Wang, Xing Tao, 2021. "Representation of solutions of linear differential systems with pure delay and multiple delays with linear parts given by non-permutable matrices," Applied Mathematics and Computation, Elsevier, vol. 410(C).
    • Handle: RePEc:eee:apmaco:v:410:y:2021:i:c:s0096300321005324
    DOI: 10.1016/j.amc.2021.126443
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    References listed on IDEAS

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    1. Si, Yuanchao & Wang, JinRong & Fečkan, Michal, 2020. "Controllability of linear and nonlinear systems governed by Stieltjes differential equations," Applied Mathematics and Computation, Elsevier, vol. 376(C).
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    Cited by:

    1. Ahmed M. Elshenhab & Xingtao Wang, 2022. "Controllability and Hyers–Ulam Stability of Differential Systems with Pure Delay," Mathematics, MDPI, vol. 10(8), pages 1-18, April.
    2. Barakah Almarri & Xingtao Wang & Ahmed M. Elshenhab, 2022. "Controllability of Stochastic Delay Systems Driven by the Rosenblatt Process," Mathematics, MDPI, vol. 10(22), pages 1-20, November.
    3. Ahmed M. Elshenhab & Xingtao Wang & Clemente Cesarano & Barakah Almarri & Osama Moaaz, 2022. "Finite-Time Stability Analysis of Fractional Delay Systems," Mathematics, MDPI, vol. 10(11), pages 1-11, May.
    4. Aydin, Mustafa & Mahmudov, Nazim I., 2022. "On a study for the neutral Caputo fractional multi-delayed differential equations with noncommutative coefficient matrices," Chaos, Solitons & Fractals, Elsevier, vol. 161(C).
    5. Ahmed M. Elshenhab & Xingtao Wang & Omar Bazighifan & Jan Awrejcewicz, 2022. "Finite-Time Stability Analysis of Linear Differential Systems with Pure Delay," Mathematics, MDPI, vol. 10(9), pages 1-10, April.

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