Existence and Uniqueness Results for Quaternion-Valued Nonlinear Impulsive Differential Systems  

作　　者：ZHU Jingwen SUN Jitao 

机构地区：[1]Department of Mathematics, Tongji University, Shanghai 200092, China [2]College of Mathematics and Physics, Jinggangshan University, Jinggangshan 343009, China [3]Institute for Intelligent Systems, University of Johannesburg, South Africa.

出　　处：《Journal of Systems Science & Complexity》2018年第3期596-607,共12页系统科学与复杂性学报（英文版）

基　　金：supported by the National Natural Science Foundation of China under Grant No.61673296

摘　　要：This paper studies the existence and uniqueness conditions for the quaternion-valued non-linear 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.

关 键 词：Differential equations  existence and uniqueness  impulsive system quaternion-valued 

分 类 号：O175[理学—数学]