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Multifactor uncertain differential equation

机译:多因素不确定微分方程

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摘要

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.
机译:本文在不确定性理论的框架内提出了一种多因素不确定微分方程。首先讨论了四种特殊类型的多因素不确定微分方程的解析解。然后,提出了一种求解一般多因素不确定微分方程的数值方法。最后,在Lipschitz条件和线性增长条件下,证明了多因素不确定微分方程具有唯一的解。

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