Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica (Jun 2021)

Fundamental solution matrix and Cauchy properties of quaternion combined impulsive matrix dynamic equation on time scales

  • Wang Chao,
  • Li Zhien,
  • Agarwal Ravi P.

DOI
https://doi.org/10.2478/auom-2021-0021
Journal volume & issue
Vol. 29, no. 2
pp. 107 – 130

Abstract

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In this paper, we establish some basic results for quaternion combined impulsive matrix dynamic equation on time scales for the first time. Quaternion matrix combined-exponential function is introduced and some basic properties are obtained. Based on this, the fundamental solution matrix and corresponding Cauchy matrix for a class of quaternion matrix dynamic equation with combined derivatives and bi-directional impulses are derived.

Keywords