<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>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.</p>
</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.

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

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

In this paper, we establish some basic results for quaternion combined impulsive matrix dynamic equation on time scales for the first time. Quaternion matrix...

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

Published Online: Jul 08, 2021

Page range: 107 - 130

Received: Jan 11, 2021

Accepted: Jan 19, 2021

DOI: https://doi.org/10.2478/auom-2021-0021

Keywords
Quaternion, Cauchy matrix, Combined matrix dynamic equation, Bidirectional impulses, Time scales

© 2021 Chao Wang et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

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

Published Online: Jul 08, 2021

Page range: 107 - 130

Received: Jan 11, 2021

Accepted: Jan 19, 2021

DOI: https://doi.org/10.2478/auom-2021-0021

KeywordsQuaternion, Cauchy matrix, Combined matrix dynamic equation, Bidirectional impulses, Time scales

© 2021 Chao Wang et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Keywords
Quaternion, Cauchy matrix, Combined matrix dynamic equation, Bidirectional impulses, Time scales