Representation of Solutions and Hyers-Ulam Stability to a Linear Matrix Differential Equation with Single Delay

• Teng Fu ^[1] ; JinRong Wang ^[1]
  1. [1] Guizhou University

     Guizhou University

     China

     
• Localización: Qualitative theory of dynamical systems, ISSN 1575-5460, Vol. 25, Nº 1, 2026
• Idioma: inglés
• Enlaces
  • Texto completo
• Resumen

  • This paper focuses on the representation of solutions and Hyers-Ulam stability of a linear matrix differential equation with single delay, removing the restriction of matrix commutativity. Firstly, by using the Kronecker product and vectorization methods, we derive the representation of solutions for a homogeneous and nonhomogeneous linear matrix differential equation with single delay. Then, the solution is used to investigate the Hyers-Ulam stability of the related nonhomogeneous equation. Finally, two examples are given to illustrate the main results.

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