Author:
Li Shengguo,Peng Jin,Zhang Bo
Abstract
Abstract
This paper proposes a type of multifactor uncertain differential equation within the framework of uncertainty theory. The analytic solutions of four special types of multifactor uncertain differential equations are first discussed. Then, a numerical method for solving general multifactor uncertain differential equation is presented. Finally, under the Lipschitz condition and linear growth condition, it is proved that the multifactor uncertain differential equation has a unique solution.
Publisher
Springer Science and Business Media LLC
Reference45 articles.
1. Liu, B: Uncertainty Theory. 2nd ed. Springer-Verlag, Berlin (2007).
2. Liu, B: Uncertainty Theory: A Branch of Mathematics for Modeling Human Uncertainty. Springer-Verlag, Berlin (2010).
3. Liu, B: Theory and Practice of Uncertain Programming. 2nd ed. Springer-Verlag, Berlin (2009).
4. Liu, B: Uncertain set theory and uncertain inference rule with application to uncertain control. J Uncertain Syst. 4(2), 83–98 (2010).
5. Liu, B: Uncertain logic for modeling human language. J Uncertain Syst. 5(1), 3–20 (2011).
Cited by
19 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献