Fundamental solution matrix and Cauchy properties of quaternion combined impulsive matrix dynamic equation on time scales-Reference-Cited by-同舟云学术

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

Published:2021-06-01 Issue:2 Volume:29 Page:107-130
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
Short-container-title:

Author:

Wang Chao¹,Li Zhien¹,Agarwal Ravi P.²

Affiliation:

1. Department of Mathematics , Yunnan University , Kunming, Yunnan 650091 , China .

2. Department of Mathematics , Texas A&M University-Kingsville , TX 78363-8202, Kingsville, TX, USA .

Abstract

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.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/auom-2021-0021

Reference54 articles.

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