时间尺度上四元数组合脉冲矩阵动力方程的基本解矩阵和柯西性质

Pub Date : 2021-06-01 DOI:10.2478/auom-2021-0021

Chao Wang, Zhien Li, R. Agarwal

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引用次数: 0

摘要

本文首次建立了时间尺度上四元数组合脉冲矩阵动力学方程的一些基本结果。引入了四元数矩阵-指数函数，得到了四元数矩阵-指数函数的一些基本性质。在此基础上，导出了一类具有组合导数和双向脉冲的四元数矩阵动态方程的基本解矩阵和对应的柯西矩阵。

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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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