caa a22 4500 605469067 CHVBK 20210128100320.0 cr unu---uuuuu 210128e20150701xx s 000 0 eng 10.1007/s00500-014-1392-8 doi (NATIONALLICENCE)springer-10.1007/s00500-014-1392-8 Yao Kai School of Management, University of Chinese Academy of Sciences, 100190, Beijing, China aut Uncertain differential equation with jumps [Elektronische Daten] [Kai Yao] Uncertain differential equation is a type of differential equation driven by a canonical Liu process. Traditional uncertain differential equation can only deal with a continuous dynamic uncertain system. To model the sharp drifts embedded in an uncertain dynamic system, this paper proposes a type of uncertain differential equation driven by a canonical Liu process and an uncertain renewal process, which is called an uncertain differential equation with jumps. A sufficient condition for the proposed equation having a unique solution is first given, then a concept of stability for the proposed equation is provided in the sense of uncertain measure, and its sufficient condition is also derived. Springer-Verlag Berlin Heidelberg, 2014 Uncertain differential equation nationallicence Uncertain renewal process nationallicence Stability nationallicence Uncertainty theory nationallicence Soft Computing Springer Berlin Heidelberg 19/7(2015-07-01), 2063-2069 1432-7643 19:7<2063 2015 19 500 https://doi.org/10.1007/s00500-014-1392-8 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00500-014-1392-8 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Yao Kai School of Management, University of Chinese Academy of Sciences, 100190, Beijing, China aut NATIONALLICENCE 773 0- Soft Computing Springer Berlin Heidelberg 19/7(2015-07-01), 2063-2069 1432-7643 19:7<2063 2015 19 500