Existence and Uniqueness Results for Quaternion-Valued Nonlinear Impulsive Differential Systems |
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| Authors: | Jingwen Zhu Jitao Sun |
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| Affiliation: | 1.Department of Mathematics,Tongji University,Shanghai,China;2.College of Mathematics and Physics,Jinggangshan University,Jinggangshan,China;3.Institute for Intelligent Systems,University of Johannesburg,Johannesburg,South Africa |
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| Abstract: | This paper studies the existence and uniqueness conditions for the quaternion-valued nonlinear impulsive system. Firstly, a space of quaternion-valued piecewise functions is constructed and completeness of the space is also proved. Then by taking advantage of the Bielecki norm and fixed point theorem, existence and uniqueness criteria of quaternion-valued nonlinear impulsive system are obtained. At last, an example is given to illustrate our theoretical results. |
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