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
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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