新研究详解庞特里亚金边界值系统的进展

作者 PulseAugur 编辑部 · [1 个来源] · 2026-06-17 04:00

一篇新发表在arXiv上的研究论文详细介绍了有限范围庞特里亚金边界值系统的进展。该研究侧重于范围一致的局部分支，并引入了一个两点端点逆用于线性化。研究人员通过缩放的稳定-不稳定边界横截性验证了该逆，并建立了一个相关的端点修正格林估计。该框架确保了存在性、唯一性和Lipschitz依赖性，常数与范围无关，适用于光滑非线性端点映射和线性二次系统。 AI

排序理由该聚类包含一篇关于数学主题的arXiv论文。[lever_c_demoted from research: ic=1 ai=0.1]

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arXiv cs.AI TIER_1 English(EN) · Pyuyi Chufeng Huang, Zikang Song, Xingshu Chen · 2026-06-17 04:00

有限视界庞特里亚金系统的辛性横截性与端点格林估计

arXiv:2606.17762v1 Announce Type: cross Abstract: We study horizon-uniform local branches of finite-horizon discrete-time Pontryagin boundary value systems after smooth control elimination. The central input is a two-point endpoint inverse for the linearization. We verify this in…

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有限视界庞特里亚金系统的辛性横截性与端点格林估计

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