Banach空间中微分包含的生存单调轨道与解的稳定性

我们在无限维空间中研究微分包含的生存W—单调轨道的存在性．基于Zorn引理，我们给出了一个逼近方法，在较弱的条件下得到了一个存在性定理，其特殊情形则包含了已有的生存定理和微分方程理论中的若干结果作为应用，我们首先研究了微分包含生存解的整体存在性，得到了整体生存理．然后我们研究了微分包含解的稳定性，得到一些新的结果．

Viable Monotone Trejectories of Differential Inclusions and Stability of Solutions

In thes paper,we concerned with the existence of viable monotone trajectory of differential inclusions in a infintine demsional space. A approximate method is given based on Zorn's lemma and an existence theorem is proved under the weaker conditions,some results in viability theory and differential epuation are involved. As applications of the main results of this paper,the global solutions of and the stability of solutions of differential inclusion are considered,some new results are obtained.