Stability and Euler Approximation of One-sided Lipschitz Differential Inclusions
Stability and Euler Approximation of One-sided Lipschitz Differential Inclusions
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DOI：
10.1137/s0363012995293694
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发表时间：
1998-03
影响因子：
2.2
通讯作者：
T. Donchev;E. Farkhi
中科院分区：
文献类型：
--
作者：
T. Donchev;E. Farkhi
研究了常微分和泛函微分包含的紧右端问题。在单侧Lipschitz条件下证明了凸和非凸情形下的Filippov型稳定性定理，推广了Lipschitz连续性、耗散性和集值映射的一致单侧Lipschitz条件的概念.通过欧拉离散方案的两种类型的夹杂物的近似的解决方案集的精度估计。
Ordinary differential and functional-differential inclusions with compact right-hand sides are considered. Stability theorems of Filippov's type in the convex and nonconvex case are proved under a one-sided Lipschitz condition, which extends the notions of Lipschitz continuity, dissipativity, and the uniform one-sided Lipschitz condition for set-valued mappings. The accuracy of approximation of the solution sets by means of the Euler discretization scheme for both types of inclusions is estimated.