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

Chao Wang; Zhien Li; Ravi P. Agarwal

doi:10.2478/auom-2021-0021

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 29 (2021): Issue 2 (June 2021)

By: Chao Wang, Zhien Li and Ravi P. Agarwal

Open Access

|Jul 2021

Abstract

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.

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