涉及邻近normal cones的二阶微分包含解的存在性
Existence of solutions for second-order differential inclusions involving proximal normal cones
摘要：
本文在一般框架下证明了二阶微分问题解的整体存在性。更精确地说，我们考虑了涉及集值映射近法锥的二阶微分包含。这个集值映射假设取容许值（特别是一致正则值，它可能是非光滑和非凸的）。此外，我们需要的解决方案，以满足一个影响法律，出现在机械系统的非弹性冲击的描述。
英文摘要：
In this work, we prove global existence of solutions for second order differential problems in a general framework. More precisely, we consider second order differential inclusions involving proximal normal cone to a set-valued map. This set-valued map is supposed to take admissible values (so in particular uniformly prox-regular values, which may be non-smooth and non-convex). Moreover we require the solution to satisfy an impact law, appearing in the description of mechanical systems with inelastic shocks.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
