Affiliations: School of Information, Capital University of Economics and Business, Beijing, China
Correspondence:
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Corresponding author. Wei Chen, School of Information, Capital University of Economics and Business, Beijing, China. E-mail:chenwei@cueb.edu.cn.
Abstract: This paper presents some continuous dependence theorems on solutions of uncertain differential equations based on uncertain measure. We first introduce some properties on solution of uncertain differential equation. And then, we provide a continuous dependence theorem, and a continuity theorem to the initial value. In the proposed continuity theorem, the solution is regarded as a ternary function of initial values. Furthermore, we discuss how the solution continuously depends on initial value and parameter, and propose two theorems, namely, continuous dependence theorem on parameter, and continuity theorem on parameter to the initial value.
