Banach空间的常微分方程解的存在性与唯一性

Banach空间的常微分方程解的存在性与唯一性 ON THE EXISTENCE AND UNIQUENESS OF SOLUTIONS OF ORDINARY DIFFERENTIAL EQUATIONS IN BANACH SPACE 许明浩 Xu Minghao and Ren Jiagang first-author 任佳刚 本文讨论Banach空间中具不连续右端的常微分方程。我们证明了:在稍强的条件下,耗散性条件同样能保证解的存在唯一性;又利用Kuratowskii的非紧致测度证明了一个关于存在性的结果。 In this paper we deal with ordinary differential equations with disconti-nuous right-hand in Banach space. We proved that under slightly stronger conditions the dissipative condition can also assure the existence and uniqueness of the solution. Using Kuratowskii’s measure of noncompactness, we also prove a theorem about the existence. 1984-03-01 2021-04-01 3