Fundamental solution matrix and Cauchy properties of quaternion combined impulsive matrix dynamic equation on time scales
2021 ◽
Vol 29
(2)
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pp. 107-130
Keyword(s):
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.
2003 ◽
Vol 125
(2)
◽
pp. 236-243
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Keyword(s):
2018 ◽
Vol 5
(1)
◽
pp. 102-112
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1987 ◽
Vol 101
(2)
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pp. 323-342