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STABILITY RESULTS FOR SET DIFFERENTIAL EQUATIONS WITH CAUSAL MAPS

机译:具有因果图的集合微分方程的稳定性结果

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摘要

In this paper we obtain stability results in the general set-up of set differential equations with causal maps. In this paper we employ the method of Lyapunov functions (MLF) to discuss the stability properties of set differential equations (SDEs) with causal operators. It is well-known that the MLF can be used to reduce the study of differential systems to that of scalar differential equations [3]. In [2, 4] this idea was exploited and the Lyapunov stability criteria for SDEs under suitable conditions were studied.
机译:在本文中,我们在具有因果图的集微分方程的一般设置中获得了稳定性结果。在本文中,我们使用Lyapunov函数(MLF)的方法来讨论具有因果算子的集合微分方程(SDE)的稳定性。众所周知,MLF可用于将对微分系统的研究简化为标量微分方程[3]。在[2,4]中,利用了这一思想,并研究了在适当条件下SDE的Lyapunov稳定性标准。

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