<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

Publié en ligne: 08 juil. 2021

Pages: 107 - 130

Reçu: 11 janv. 2021

Accepté: 19 janv. 2021

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

Mots clés
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

Publié en ligne: 08 juil. 2021

Pages: 107 - 130

Reçu: 11 janv. 2021

Accepté: 19 janv. 2021

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

Mots clésQuaternion, 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.

Mots clés
Quaternion, Cauchy matrix, Combined matrix dynamic equation, Bidirectional impulses, Time scales