Continuous dependence theorems on solutions of uncertain differential equations
Continuous dependence theorems on solutions of uncertain differential equations
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DOI：
10.1016/j.apm.2013.11.037
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发表时间：
2014-06-01
影响因子：
5
通讯作者：
Yao, Kai
中科院分区：
文献类型：
--
作者：
Gao, Yuan;Yao, Kai
在常微分方程和随机微分方程中，解在一定条件下连续依赖于初值和参数。本文研究了不确定微分方程中的相似连续相关定理。它证明了两个连续依赖定理，一个基本定理和一个一般定理。(C)2013 Elsevier Inc. All rights reserved.
In ordinary differential equation (ODE) and stochastic differential equation (SDE), the solution continuously depends on initial value and parameter under some conditions. This paper investigates the analogous continuous dependence theorems in uncertain differential equation (UDE). It proves two continuous dependence theorems, a basic one and a general one. (C) 2013 Elsevier Inc. All rights reserved.