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| 摘要: |
| 本文研究了测度微分方程的Lipschitz稳定性问题.利用广义常微分方程的Lipschitz稳定性结果，在测度微分方程等价于广义常微分方程的基础上，获得了测度微分方程的变差一致Lipschitz稳定性与一致整体Lipschitz稳定性定理，是对测度微分方程稳定性理论的实质性推广. |
| 关键词: 测度微分方程 广义常微分方程 Lipschitz稳定性 变差一致Lipschitz稳定性 一致整体Lipschitz稳定性 |
| DOI： |
| 分类号:O175.12 |
| 基金项目:国家自然科学基金资助（11761063）. |
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| LIPSCHITZ STABILITY OF MEASURE DIFFERENTIAL EQUATIONS |
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LI Bao-lin,XI Ya
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| Abstract: |
| In this paper, we study the Lipschitz stability of measure differential equations. By using the Lipschitz stability of generalized ordinary differential equations, under the condition that the measure differential equations is equivalent to the generalized ordinary differential equations, the theorems of variational uniformly Lipschitz stability and uniformly globally Lipschitz stability of measure differential equations are obtained, which is an essential generalization of the stability theorem of measure differential equations. |
| Key words: measure differential equations generalized ordinary differential equations Lipschitz stability variational uniformly Lipschitz stability uniformly globally Lipschitz stability |
